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30575664 = 2433710111
BaseRepresentation
bin111010010100…
…0110000110000
32010112101221000
41310220300300
530311410124
63011202000
7520613610
oct164506060
963471830
1030575664
1116293a49
12a2a6300
136447012
1440bca40
152a3e6c9
hex1d28c30

30575664 has 80 divisors (see below), whose sum is σ = 100311040. Its totient is φ = 8735040.

The previous prime is 30575663. The next prime is 30575669. The reversal of 30575664 is 46657503.

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

It is not an unprimeable number, because it can be changed into a prime (30575663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032 + ... + 8079.

It is an arithmetic number, because the mean of its divisors is an integer number (1253888).

Almost surely, 230575664 is an apocalyptic number.

It is an amenable number.

30575664 is an abundant number, since it is smaller than the sum of its proper divisors (69735376).

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

30575664 is a wasteful number, since it uses less digits than its factorization.

30575664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 30575664 is about 5529.5265620123. The cubic root of 30575664 is about 312.6981407955.

The spelling of 30575664 in words is "thirty million, five hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 10111 20222 30333 40444 60666 70777 80888 90999 121332 141554 161776 181998 212331 242664 272997 283108 363996 424662 485328 545994 566216 636993 727992 849324 1091988 1132432 1273986 1455984 1698648 1910979 2183976 2547972 3397296 3821958 4367952 5095944 7643916 10191888 15287832 30575664