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30064424 = 2313237601
BaseRepresentation
bin111001010101…
…1111100101000
32002120102122012
41302223330220
530144030144
62552215052
7513354245
oct162537450
962512565
1030064424
1115a74935
12a09a488
1362c8400
143dc85cc
15298ce9e
hex1cabf28

30064424 has 48 divisors (see below), whose sum is σ = 62794620. Its totient is φ = 13478400.

The previous prime is 30064423. The next prime is 30064429. The reversal of 30064424 is 42446003.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15760900 + 14303524 = 3970^2 + 3782^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30064424.

It is not an unprimeable number, because it can be changed into a prime (30064423) 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, 49724 + ... + 50324.

Almost surely, 230064424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30064424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31397310).

30064424 is an abundant number, since it is smaller than the sum of its proper divisors (32730196).

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

30064424 is a wasteful number, since it uses less digits than its factorization.

30064424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 30064424 is about 5483.1035007558. The cubic root of 30064424 is about 310.9455141778.

The spelling of 30064424 in words is "thirty million, sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 601 676 962 1202 1352 1924 2404 3848 4808 6253 7813 12506 15626 22237 25012 31252 44474 50024 62504 88948 101569 177896 203138 289081 406276 578162 812552 1156324 2312648 3758053 7516106 15032212 30064424