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234122296328 = 231722923472
BaseRepresentation
bin1101101000001011000…
…1101011110000001000
3211101022101101221100022
43122002301223300020
512313440301440303
6255315421200012
722625524453334
oct3320261536010
9741271357308
10234122296328
1190321a294a8
123945b100008
1319101754b6b
14b48dbd67c4
156153e2e438
hex3682c6bc08

234122296328 has 108 divisors (see below), whose sum is σ = 484350892935. Its totient is φ = 106069494272.

The previous prime is 234122296319. The next prime is 234122296333. The reversal of 234122296328 is 823692221432.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 186936899044 + 47185397284 = 432362^2 + 217222^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=342142.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 674703851 + ... + 674704197.

Almost surely, 2234122296328 is an apocalyptic number.

It is an amenable number.

234122296328 is an abundant number, since it is smaller than the sum of its proper divisors (250228596607).

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

234122296328 is an equidigital number, since it uses as much as digits as its factorization.

234122296328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 395 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The spelling of 234122296328 in words is "two hundred thirty-four billion, one hundred twenty-two million, two hundred ninety-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 289 347 493 578 694 841 986 1156 1388 1682 1972 2312 2776 3364 3944 5899 6728 8381 10063 11798 14297 16762 20126 23596 28594 33524 40252 47192 57188 67048 80504 100283 114376 120409 171071 200566 240818 243049 291827 342142 401132 481636 486098 583654 684284 802264 963272 972196 1167308 1368568 1944392 2046953 2334616 2908207 3491861 4093906 4961059 5816414 6983722 8187812 9922118 11632828 13967444 16375624 19844236 23265656 27934888 34798201 39688472 59361637 69596402 84338003 101263969 118723274 139192804 168676006 202527938 237446548 278385608 337352012 405055876 474893096 674704024 810111752 1009147829 1721487473 2018295658 3442974946 4036591316 6885949892 8073182632 13771899784 29265287041 58530574082 117061148164 234122296328