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350608064 = 2619373773
BaseRepresentation
bin10100111001011…
…101101011000000
3220102201201211212
4110321131223000
51204223424224
654442425252
711455055642
oct2471355300
9812651755
10350608064
1116aa00034
1299502228
1357839bc1
14347c8892
1520ba8d0e
hex14e5dac0

350608064 has 56 divisors (see below), whose sum is σ = 735269040. Its totient is φ = 165417984.

The previous prime is 350608043. The next prime is 350608073. The reversal of 350608064 is 460806053.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 350608064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453182 + ... + 453954.

Almost surely, 2350608064 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 350608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367634520).

350608064 is an abundant number, since it is smaller than the sum of its proper divisors (384660976).

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

350608064 is a wasteful number, since it uses less digits than its factorization.

350608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 350608064 is about 18724.5310755704. The cubic root of 350608064 is about 705.1377522015.

The spelling of 350608064 in words is "three hundred fifty million, six hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 373 608 746 773 1216 1492 1546 2984 3092 5968 6184 7087 11936 12368 14174 14687 23872 24736 28348 29374 49472 56696 58748 113392 117496 226784 234992 288329 453568 469984 576658 939968 1153316 2306632 4613264 5478251 9226528 10956502 18453056 21913004 43826008 87652016 175304032 350608064