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350936064 = 210344231
BaseRepresentation
bin10100111010101…
…101110000000000
3220110100101210000
4110322231300000
51204314423224
654453440000
711460623133
oct2472556000
9813311700
10350936064
11170104506
1299640000
135792329b
143487221a
1520c210c9
hex14eadc00

350936064 has 110 divisors (see below), whose sum is σ = 1048211384. Its totient is φ = 116951040.

The previous prime is 350936063. The next prime is 350936101. The reversal of 350936064 is 460639053.

It is a super-2 number, since 2×3509360642 = 246312242031624192, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350936063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80829 + ... + 85059.

Almost surely, 2350936064 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 350936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524105692).

350936064 is an abundant number, since it is smaller than the sum of its proper divisors (697275320).

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

350936064 is an equidigital number, since it uses as much as digits as its factorization.

350936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 350936064 is about 18733.2875918777. The cubic root of 350936064 is about 705.3575732497.

The spelling of 350936064 in words is "three hundred fifty million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4231 4608 5184 6912 8462 9216 10368 12693 13824 16924 20736 25386 27648 33848 38079 41472 50772 67696 76158 82944 101544 114237 135392 152316 203088 228474 270784 304632 342711 406176 456948 541568 609264 685422 812352 913896 1083136 1218528 1370844 1624704 1827792 2166272 2437056 2741688 3249408 3655584 4332544 4874112 5483376 6498816 7311168 9748224 10966752 12997632 14622336 19496448 21933504 29244672 38992896 43867008 58489344 87734016 116978688 175468032 350936064