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30330528 = 253378539
BaseRepresentation
bin111001110110…
…0111010100000
32010001221122220
41303230322200
530231034103
63002031040
7515543124
oct163547240
963057586
1030330528
1116136858
12a1a8480
13638c577
144057584
1529e1c53
hex1cecea0

30330528 has 48 divisors (see below), whose sum is σ = 81779040. Its totient is φ = 9835776.

The previous prime is 30330527. The next prime is 30330571. The reversal of 30330528 is 82503303.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30330498 and 30330507.

It is not an unprimeable number, because it can be changed into a prime (30330527) 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 7 ways as a sum of consecutive naturals, for example, 718 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (1703730).

Almost surely, 230330528 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 30330528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40889520).

30330528 is an abundant number, since it is smaller than the sum of its proper divisors (51448512).

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

30330528 is a wasteful number, since it uses less digits than its factorization.

30330528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 30330528 is about 5507.3158616517. The cubic root of 30330528 is about 311.8602266755.

The spelling of 30330528 in words is "thirty million, three hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 8539 17078 25617 34156 51234 68312 102468 136624 204936 273248 315943 409872 631886 819744 947829 1263772 1895658 2527544 3791316 5055088 7582632 10110176 15165264 30330528