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930434115 = 351329414013
BaseRepresentation
bin110111011101010…
…100110001000011
32101211202221122210
4313131110301003
53401142342430
6232154233203
732025362622
oct6735246103
92354687583
10930434115
11438229a16
1221b725803
1311a9c1140
148b7dd6b9
1556a3e2b0
hex37754c43

930434115 has 64 divisors (see below), whose sum is σ = 1699367040. Its totient is φ = 431370240.

The previous prime is 930434083. The next prime is 930434143. The reversal of 930434115 is 511434039.

It is not a de Polignac number, because 930434115 - 25 = 930434083 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229849 + ... + 233861.

It is an arithmetic number, because the mean of its divisors is an integer number (26552610).

It is the magic constant of a 1230 × 1230 magic square.

Almost surely, 2930434115 is an apocalyptic number.

930434115 is a deficient number, since it is larger than the sum of its proper divisors (768932925).

930434115 is a wasteful number, since it uses less digits than its factorization.

930434115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 930434115 is about 30503.0181293589. The cubic root of 930434115 is about 976.2518620554.

The spelling of 930434115 in words is "nine hundred thirty million, four hundred thirty-four thousand, one hundred fifteen".

Divisors: 1 3 5 13 15 29 39 41 65 87 123 145 195 205 377 435 533 615 1131 1189 1599 1885 2665 3567 4013 5655 5945 7995 12039 15457 17835 20065 46371 52169 60195 77285 116377 156507 164533 231855 260845 349131 493599 581885 782535 822665 1512901 1745655 2138929 2467995 4538703 4771457 6416787 7564505 10694645 14314371 22693515 23857285 32083935 62028941 71571855 186086823 310144705 930434115