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234788268 = 2231113612243
BaseRepresentation
bin11011111111010…
…01010110101100
3121100210110221210
431333221112230
5440101211033
635144154420
75550444621
oct1577512654
9540713853
10234788268
111105939a0
1266768a10
1339847890
142327a348
151592bd63
hexdfe95ac

234788268 has 96 divisors (see below), whose sum is σ = 654458112. Its totient is φ = 64569600.

The previous prime is 234788231. The next prime is 234788291. The reversal of 234788268 is 862887432.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103555 + ... + 105797.

It is an arithmetic number, because the mean of its divisors is an integer number (6817272).

Almost surely, 2234788268 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 234788268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327229056).

234788268 is an abundant number, since it is smaller than the sum of its proper divisors (419669844).

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

234788268 is a wasteful number, since it uses less digits than its factorization.

234788268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2333 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 234788268 is about 15322.8022241364. The cubic root of 234788268 is about 616.9151903408.

The spelling of 234788268 in words is "two hundred thirty-four million, seven hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 183 244 286 366 429 572 671 732 793 858 1342 1586 1716 2013 2243 2379 2684 3172 4026 4486 4758 6729 8052 8723 8972 9516 13458 17446 24673 26169 26916 29159 34892 49346 52338 58318 74019 87477 98692 104676 116636 136823 148038 174954 273646 296076 320749 349908 410469 547292 641498 820938 962247 1282996 1505053 1641876 1778699 1924494 3010106 3557398 3848988 4515159 5336097 6020212 7114796 9030318 10672194 18060636 19565689 21344388 39131378 58697067 78262756 117394134 234788268