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350627928 = 23372298153
BaseRepresentation
bin10100111001100…
…010100001011000
3220102202202002120
4110321202201120
51204230043203
654443101240
711455200600
oct2471424130
9812682076
10350627928
1116aa13a52
1299511820
1357845c61
14347d1c00
1520baeb53
hex14e62858

350627928 has 48 divisors (see below), whose sum is σ = 1019686680. Its totient is φ = 100179072.

The previous prime is 350627909. The next prime is 350627933. The reversal of 350627928 is 829726053.

It is a super-3 number, since 3×3506279283 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 350627928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147901 + ... + 150252.

Almost surely, 2350627928 is an apocalyptic number.

It is an amenable number.

350627928 is an abundant number, since it is smaller than the sum of its proper divisors (669058752).

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

350627928 is a wasteful number, since it uses less digits than its factorization.

350627928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298176 (or 298165 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 350627928 is about 18725.0614952261. The cubic root of 350627928 is about 705.1510686777.

The spelling of 350627928 in words is "three hundred fifty million, six hundred twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 298153 596306 894459 1192612 1788918 2087071 2385224 3577836 4174142 6261213 7155672 8348284 12522426 14609497 16696568 25044852 29218994 43828491 50089704 58437988 87656982 116875976 175313964 350627928