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30205968 = 2431348407
BaseRepresentation
bin111001100111…
…0100000010000
32002211121210120
41303032200100
530213042333
62555230240
7514514022
oct163164020
962747716
1030205968
1116061211
12a148380
136347970
144024012
1529b9db3
hex1cce810

30205968 has 40 divisors (see below), whose sum is σ = 84036288. Its totient is φ = 9293952.

The previous prime is 30205963. The next prime is 30205999. The reversal of 30205968 is 86950203.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30205961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23580 + ... + 24827.

Almost surely, 230205968 is an apocalyptic number.

It is an amenable number.

30205968 is an abundant number, since it is smaller than the sum of its proper divisors (53830320).

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

30205968 is a wasteful number, since it uses less digits than its factorization.

30205968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48431 (or 48425 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 30205968 is about 5495.9956331860. The cubic root of 30205968 is about 311.4327299135.

The spelling of 30205968 in words is "thirty million, two hundred five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 48407 96814 145221 193628 290442 387256 580884 629291 774512 1161768 1258582 1887873 2323536 2517164 3775746 5034328 7551492 10068656 15102984 30205968