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30661824 = 263159697
BaseRepresentation
bin111010011110…
…1110011000000
32010200210010010
41310331303000
530322134244
63013104520
7521423034
oct164756300
963623103
1030661824
1116342756
12a328140
1364772bb
1441021c4
152a59eb9
hex1d3dcc0

30661824 has 28 divisors (see below), whose sum is σ = 81126584. Its totient is φ = 10220544.

The previous prime is 30661823. The next prime is 30661837. The reversal of 30661824 is 42816603.

It is a junction number, because it is equal to n+sod(n) for n = 30661791 and 30661800.

It is not an unprimeable number, because it can be changed into a prime (30661823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79657 + ... + 80040.

It is an arithmetic number, because the mean of its divisors is an integer number (2897378).

Almost surely, 230661824 is an apocalyptic number.

It is an amenable number.

30661824 is an abundant number, since it is smaller than the sum of its proper divisors (50464760).

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

30661824 is a wasteful number, since it uses less digits than its factorization.

30661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159712 (or 159702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 30661824 is about 5537.3119832641. The cubic root of 30661824 is about 312.9915855475.

The spelling of 30661824 in words is "thirty million, six hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 159697 319394 479091 638788 958182 1277576 1916364 2555152 3832728 5110304 7665456 10220608 15330912 30661824