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230034334104 = 233319287919469
BaseRepresentation
bin1101011000111100011…
…1010110000110011000
3210222202111011221102000
43112033013112012120
512232102242142404
6253402030041000
722422315402201
oct3261707260630
9728674157360
10230034334104
1189614425a23
12386ba049160
13188cc845bc3
14b1c2d065a8
155eb50d1339
hex358f1d6198

230034334104 has 128 divisors (see below), whose sum is σ = 672883200000. Its totient is φ = 72613459584.

The previous prime is 230034334099. The next prime is 230034334109. The reversal of 230034334104 is 401433430032.

230034334104 is a `hidden beast` number, since 2 + 300 + 343 + 3 + 4 + 10 + 4 = 666.

230034334104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230034334099) and next prime (230034334109).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230034334109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11805682 + ... + 11825150.

It is an arithmetic number, because the mean of its divisors is an integer number (5256900000).

Almost surely, 2230034334104 is an apocalyptic number.

230034334104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230034334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336441600000).

230034334104 is an abundant number, since it is smaller than the sum of its proper divisors (442848865896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230034334104 is a wasteful number, since it uses less digits than its factorization.

230034334104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22382 (or 22372 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 230034334104 its reverse (401433430032), we get a palindrome (631467764136).

The spelling of 230034334104 in words is "two hundred thirty billion, thirty-four million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 2879 4104 5758 8637 11516 17274 19469 23032 25911 34548 38938 51822 54701 58407 69096 77733 77876 103644 109402 116814 155466 155752 164103 175221 207288 218804 233628 310932 328206 350442 369911 437608 467256 492309 525663 621864 656412 700884 739822 984618 1051326 1109733 1312824 1401768 1476927 1479644 1969236 2102652 2219466 2953854 2959288 3329199 3938472 4205304 4438932 5907708 6658398 8877864 9987597 11815416 13316796 19975194 26633592 39950388 56051251 79900776 112102502 168153753 224205004 336307506 448410008 504461259 672615012 1008922518 1064973769 1345230024 1513383777 2017845036 2129947538 3026767554 3194921307 4035690072 4259895076 6053535108 6389842614 8519790152 9584763921 12107070216 12779685228 19169527842 25559370456 28754291763 38339055684 57508583526 76678111368 115017167052 230034334104