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30435664 = 247238821
BaseRepresentation
bin111010000011…
…0100101010000
32010021021212211
41310012211100
530242420124
63004201504
7516461500
oct164064520
963237784
1030435664
11161a8846
12a239294
1363c838c
144083a00
152a12e94
hex1d06950

30435664 has 30 divisors (see below), whose sum is σ = 68598474. Its totient is φ = 13043520.

The previous prime is 30435637. The next prime is 30435667. The reversal of 30435664 is 46653403.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 3312400 = 5208^2 + 1820^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30435667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18627 + ... + 20194.

Almost surely, 230435664 is an apocalyptic number.

It is an amenable number.

30435664 is an abundant number, since it is smaller than the sum of its proper divisors (38162810).

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

30435664 is a wasteful number, since it uses less digits than its factorization.

30435664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38843 (or 38830 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 30435664 is about 5516.8527259661. The cubic root of 30435664 is about 312.2201492489.

The spelling of 30435664 in words is "thirty million, four hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 38821 77642 155284 271747 310568 543494 621136 1086988 1902229 2173976 3804458 4347952 7608916 15217832 30435664