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34630668 = 22323725999
BaseRepresentation
bin1000010000011…
…0110000001100
32102011102100100
42010012300030
532331140133
63234131100
7600233022
oct204066014
972142310
1034630668
1118603596
12b720a90
137236927
144856712
153090e13
hex2106c0c

34630668 has 36 divisors (see below), whose sum is σ = 89908000. Its totient is φ = 11231136.

The previous prime is 34630667. The next prime is 34630697. The reversal of 34630668 is 86603643.

34630668 is a `hidden beast` number, since 346 + 306 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×346306682 = 2398566332252448, which contains 22 as substring.

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 (34630667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11668 + ... + 14331.

Almost surely, 234630668 is an apocalyptic number.

It is an amenable number.

34630668 is an abundant number, since it is smaller than the sum of its proper divisors (55277332).

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

34630668 is a wasteful number, since it uses less digits than its factorization.

34630668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26046 (or 26041 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34630668 is about 5884.7827487512. The cubic root of 34630668 is about 325.9519795780.

The spelling of 34630668 in words is "thirty-four million, six hundred thirty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 25999 51998 77997 103996 155994 233991 311988 467982 935964 961963 1923926 2885889 3847852 5771778 8657667 11543556 17315334 34630668