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230334104 = 23731113587
BaseRepresentation
bin11011011101010…
…01111010011000
3121001102011222202
431232221322120
5432431142404
634504505332
75464544000
oct1556517230
9531364882
10230334104
11109021470
126517b248
1338948390
142283b000
151534c21e
hexdba9e98

230334104 has 128 divisors (see below), whose sum is σ = 592704000. Its totient is φ = 82696320.

The previous prime is 230334079. The next prime is 230334107. The reversal of 230334104 is 401433032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230334107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392099 + ... + 392685.

It is an arithmetic number, because the mean of its divisors is an integer number (4630500).

Almost surely, 2230334104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352000).

230334104 is an abundant number, since it is smaller than the sum of its proper divisors (362369896).

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

230334104 is a wasteful number, since it uses less digits than its factorization.

230334104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 230334104 is about 15176.7619734909. The cubic root of 230334104 is about 612.9890950569.

Adding to 230334104 its reverse (401433032), we get a palindrome (631767136).

The spelling of 230334104 in words is "two hundred thirty million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 343 364 392 539 572 587 616 637 686 728 1001 1078 1144 1174 1274 1372 2002 2156 2348 2548 2744 3773 4004 4109 4312 4459 4696 5096 6457 7007 7546 7631 8008 8218 8918 12914 14014 15092 15262 16436 17836 25828 28028 28763 30184 30524 32872 35672 45199 49049 51656 53417 56056 57526 61048 83941 90398 98098 106834 115052 167882 180796 196196 201341 213668 230104 316393 335764 361592 373919 392392 402682 427336 587587 632786 671528 747838 805364 1175174 1265572 1495676 1610728 2214751 2350348 2531144 2617433 2991352 4113109 4429502 4700696 5234866 8226218 8859004 10469732 16452436 17718008 20939464 28791763 32904872 57583526 115167052 230334104