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2334204312 = 23311172322613
BaseRepresentation
bin1000101100100001…
…0010000110011000
320000200012212100120
42023020102012120
514240024014222
61023342033240
7111562260246
oct21310220630
96020185316
102334204312
11a98663280
12551878820
132b278c9ab
14182013796
15d9dcb15c
hex8b212198

2334204312 has 128 divisors (see below), whose sum is σ = 7033858560. Its totient is φ = 636753920.

The previous prime is 2334204281. The next prime is 2334204331. The reversal of 2334204312 is 2134024332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91918 + ... + 114530.

It is an arithmetic number, because the mean of its divisors is an integer number (54952020).

Almost surely, 22334204312 is an apocalyptic number.

2334204312 is a gapful number since it is divisible by the number (22) 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 2334204312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516929280).

2334204312 is an abundant number, since it is smaller than the sum of its proper divisors (4699654248).

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

2334204312 is a wasteful number, since it uses less digits than its factorization.

2334204312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22673 (or 22669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2334204312 is about 48313.6037985162. The cubic root of 2334204312 is about 1326.5174141946.

Adding to 2334204312 its reverse (2134024332), we get a palindrome (4468228644).

It can be divided in two parts, 233420 and 4312, that added together give a palindrome (237732).

The spelling of 2334204312 in words is "two billion, three hundred thirty-four million, two hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 391 408 506 552 561 748 759 782 1012 1122 1173 1496 1518 1564 2024 2244 2346 3036 3128 4301 4488 4692 6072 8602 9384 12903 17204 22613 25806 34408 45226 51612 67839 90452 103224 135678 180904 248743 271356 384421 497486 520099 542712 746229 768842 994972 1040198 1153263 1492458 1537684 1560297 1989944 2080396 2306526 2984916 3075368 3120594 4160792 4228631 4613052 5721089 5969832 6241188 8457262 8841683 9226104 11442178 12482376 12685893 16914524 17163267 17683366 22884356 25371786 26525049 33829048 34326534 35366732 45768712 50743572 53050098 68653068 70733464 97258513 101487144 106100196 137306136 194517026 212200392 291775539 389034052 583551078 778068104 1167102156 2334204312