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30711328 = 253183373
BaseRepresentation
bin111010100100…
…1111000100000
32010210022000121
41311021320200
530330230303
63014130024
7522020254
oct165117040
963708017
1030711328
111637696a
12a350914
1364939ab
144116264
152a699bd
hex1d49e20

30711328 has 48 divisors (see below), whose sum is σ = 63334656. Its totient is φ = 14641920.

The previous prime is 30711323. The next prime is 30711347. The reversal of 30711328 is 82311703.

It is not an unprimeable number, because it can be changed into a prime (30711323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82150 + ... + 82522.

It is an arithmetic number, because the mean of its divisors is an integer number (1319472).

Almost surely, 230711328 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 30711328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31667328).

30711328 is an abundant number, since it is smaller than the sum of its proper divisors (32623328).

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

30711328 is a wasteful number, since it uses less digits than its factorization.

30711328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 30711328 is about 5541.7802193880. The cubic root of 30711328 is about 313.1599382664.

The spelling of 30711328 in words is "thirty million, seven hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 83 124 166 248 332 373 496 664 746 992 1328 1492 2573 2656 2984 5146 5968 10292 11563 11936 20584 23126 30959 41168 46252 61918 82336 92504 123836 185008 247672 370016 495344 959729 990688 1919458 3838916 7677832 15355664 30711328