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356230656 = 293373353
BaseRepresentation
bin10101001110111…
…010011000000000
3220211022101121000
4111032322120000
51212143340111
655203132000
711553624225
oct2516723000
9824271530
10356230656
111730a0401
129b374000
1358a58192
143544d94c
1521419c56
hex153ba600

356230656 has 160 divisors (see below), whose sum is σ = 1071940320. Its totient is φ = 116785152.

The previous prime is 356230627. The next prime is 356230661. The reversal of 356230656 is 656032653.

356230656 is a `hidden beast` number, since 3 + 562 + 30 + 65 + 6 = 666.

356230656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 356230656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008976 + ... + 1009328.

It is an arithmetic number, because the mean of its divisors is an integer number (6699627).

Almost surely, 2356230656 is an apocalyptic number.

356230656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535970160).

356230656 is an abundant number, since it is smaller than the sum of its proper divisors (715709664).

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

356230656 is an equidigital number, since it uses as much as digits as its factorization.

356230656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 356230656 is about 18874.0736461422. The cubic root of 356230656 is about 708.8871384359.

The spelling of 356230656 in words is "three hundred fifty-six million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 353 384 432 438 512 576 584 657 706 768 864 876 1059 1152 1168 1314 1412 1536 1728 1752 1971 2118 2304 2336 2628 2824 3177 3456 3504 3942 4236 4608 4672 5256 5648 6354 6912 7008 7884 8472 9344 9531 10512 11296 12708 13824 14016 15768 16944 18688 19062 21024 22592 25416 25769 28032 31536 33888 37376 38124 42048 45184 50832 51538 56064 63072 67776 76248 77307 84096 90368 101664 103076 112128 126144 135552 152496 154614 168192 180736 203328 206152 231921 252288 271104 304992 309228 336384 406656 412304 463842 504576 542208 609984 618456 695763 813312 824608 927684 1009152 1219968 1236912 1391526 1626624 1649216 1855368 2439936 2473824 2783052 3298432 3710736 4879872 4947648 5566104 6596864 7421472 9895296 11132208 13193728 14842944 19790592 22264416 29685888 39581184 44528832 59371776 89057664 118743552 178115328 356230656