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234271488256 = 281341792
BaseRepresentation
bin1101101000101110101…
…0110011100100000000
3211101200210010200012021
43122023222303210000
512314242000111011
6255342311011224
722632315536251
oct3321352634400
9741623120167
10234271488256
1190399169613
12394a1069b14
1319126630000
14b4a5950b28
15616209e471
hex368bab3900

234271488256 has 135 divisors (see below), whose sum is σ = 509441430071. Its totient is φ = 107521250304.

The previous prime is 234271488229. The next prime is 234271488287. The reversal of 234271488256 is 652884172432.

The square root of 234271488256 is 484016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 116155545856 + 118115942400 = 340816^2 + 343680^2 .

It is a super-2 number, since 2×2342714882562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1308779175 + ... + 1308779353.

Almost surely, 2234271488256 is an apocalyptic number.

234271488256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

234271488256 is the 484016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234271488256

234271488256 is an abundant number, since it is smaller than the sum of its proper divisors (275169941815).

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

234271488256 is an frugal number, since it uses more digits than its factorization.

234271488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 194 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 52.

The spelling of 234271488256 in words is "two hundred thirty-four billion, two hundred seventy-one million, four hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 179 208 256 338 358 416 676 716 832 1352 1432 1664 2197 2327 2704 2864 3328 4394 4654 5408 5728 8788 9308 10816 11456 17576 18616 21632 22912 28561 30251 32041 35152 37232 43264 45824 57122 60502 64082 70304 74464 114244 121004 128164 140608 148928 228488 242008 256328 281216 297856 393263 416533 456976 484016 512656 562432 595712 786526 833066 913952 968032 1025312 1573052 1666132 1827904 1936064 2050624 3146104 3332264 3655808 3872128 4101248 5112419 5414929 6292208 6664528 7311616 7744256 8202496 10224838 10829858 12584416 13329056 20449676 21659716 25168832 26658112 40899352 43319432 50337664 53316224 70394077 81798704 86638864 100675328 106632448 140788154 163597408 173277728 281576308 327194816 346555456 563152616 654389632 693110912 915123001 1126305232 1308779264 1386221824 1830246002 2252610464 3660492004 4505220928 7320984008 9010441856 14641968016 18020883712 29283936032 58567872064 117135744128 234271488256