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233440234304 = 2671337152443
BaseRepresentation
bin1101100101101000011…
…1110100101101000000
3211022112211222121010212
43121122013310231000
512311041144444204
6255124014213252
722602603152324
oct3313207645500
9738484877125
10233440234304
1190001a21182
12392aa7b4228
1319023356474
14b4273ab984
156114101c6e
hex365a1f4b40

233440234304 has 56 divisors (see below), whose sum is σ = 471154402368. Its totient is φ = 114733946880.

The previous prime is 233440234303. The next prime is 233440234333. The reversal of 233440234304 is 403432044332.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233440234301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455107 + ... + 1607549.

Almost surely, 2233440234304 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 233440234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235577201184).

233440234304 is an abundant number, since it is smaller than the sum of its proper divisors (237714168064).

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

233440234304 is a wasteful number, since it uses less digits than its factorization.

233440234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152863 (or 152853 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 233440234304 its reverse (403432044332), we get a palindrome (636872278636).

The spelling of 233440234304 in words is "two hundred thirty-three billion, four hundred forty million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 71 142 284 337 568 674 1136 1348 2272 2696 4544 5392 10784 21568 23927 47854 95708 152443 191416 304886 382832 609772 765664 1219544 1531328 2439088 4878176 9756352 10823453 21646906 43293812 51373291 86587624 102746582 173175248 205493164 346350496 410986328 692700992 821972656 1643945312 3287890624 3647503661 7295007322 14590014644 29180029288 58360058576 116720117152 233440234304