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30656340 = 223351113397
BaseRepresentation
bin111010011110…
…0011101010100
32010200111121000
41310330131110
530322000330
63013023300
7521401041
oct164743524
963614530
1030656340
1116339620
12a324b30
136474960
1441001c8
152a58560
hex1d3c754

30656340 has 192 divisors, whose sum is σ = 112331520. Its totient is φ = 6842880.

The previous prime is 30656323. The next prime is 30656363. The reversal of 30656340 is 4365603.

30656340 is a `hidden beast` number, since 3 + 0 + 656 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×306563402 = 1879622364391200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77022 + ... + 77418.

It is an arithmetic number, because the mean of its divisors is an integer number (585060).

Almost surely, 230656340 is an apocalyptic number.

30656340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30656340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56165760).

30656340 is an abundant number, since it is smaller than the sum of its proper divisors (81675180).

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

30656340 is a wasteful number, since it uses less digits than its factorization.

30656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 30656340 is about 5536.8167750071. The cubic root of 30656340 is about 312.9729244681.

It can be divided in two parts, 306563 and 40, that added together give a palindrome (306603).

The spelling of 30656340 in words is "thirty million, six hundred fifty-six thousand, three hundred forty".