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234284256 = 253223113313
BaseRepresentation
bin11011111011011…
…10010011100000
3121022211212120200
431331232103200
5434434044011
635125305200
75543245323
oct1575562340
9538755520
10234284256
1111027a258
1266565200
13396cc34b
14231887ba
151587c856
hexdf6e4e0

234284256 has 144 divisors (see below), whose sum is σ = 703606176. Its totient is φ = 73801728.

The previous prime is 234284227. The next prime is 234284261. The reversal of 234284256 is 652482432.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2342842562 = 109778225218947072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 234284256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748356 + ... + 748668.

It is an arithmetic number, because the mean of its divisors is an integer number (4886154).

Almost surely, 2234284256 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 234284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351803088).

234284256 is an abundant number, since it is smaller than the sum of its proper divisors (469321920).

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

234284256 is a wasteful number, since it uses less digits than its factorization.

234284256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 234284256 is about 15306.3469188438. The cubic root of 234284256 is about 616.4734371294.

The spelling of 234284256 in words is "two hundred thirty-four million, two hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 113 138 144 184 207 226 276 288 313 339 368 414 452 552 626 678 736 828 904 939 1017 1104 1252 1356 1656 1808 1878 2034 2208 2504 2599 2712 2817 3312 3616 3756 4068 5008 5198 5424 5634 6624 7199 7512 7797 8136 10016 10396 10848 11268 14398 15024 15594 16272 20792 21597 22536 23391 28796 30048 31188 32544 35369 41584 43194 45072 46782 57592 62376 64791 70738 83168 86388 90144 93564 106107 115184 124752 129582 141476 172776 187128 212214 230368 249504 259164 282952 318321 345552 374256 424428 518328 565904 636642 691104 748512 813487 848856 1036656 1131808 1273284 1626974 1697712 2073312 2440461 2546568 3253948 3395424 4880922 5093136 6507896 7321383 9761844 10186272 13015792 14642766 19523688 26031584 29285532 39047376 58571064 78094752 117142128 234284256