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30534048 = 2532971093
BaseRepresentation
bin111010001111…
…0100110100000
32010110021211200
41310132212200
530304042143
63010241200
7520351356
oct164364640
963407750
1030534048
1116265756
12a286200
1364310ac
1440ab7d6
152a321d3
hex1d1e9a0

30534048 has 72 divisors (see below), whose sum is σ = 87806628. Its totient is φ = 10063872.

The previous prime is 30534029. The next prime is 30534073. The reversal of 30534048 is 84043503.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27751824 + 2782224 = 5268^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27390 + ... + 28482.

Almost surely, 230534048 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 30534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43903314).

30534048 is an abundant number, since it is smaller than the sum of its proper divisors (57272580).

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

30534048 is a wasteful number, since it uses less digits than its factorization.

30534048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30534048 is about 5525.7622098675. The cubic root of 30534048 is about 312.5562070632.

The spelling of 30534048 in words is "thirty million, five hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1093 1164 1552 1746 2186 2328 3104 3279 3492 4372 4656 6558 6984 8744 9312 9837 13116 13968 17488 19674 26232 27936 34976 39348 52464 78696 104928 106021 157392 212042 314784 318063 424084 636126 848168 954189 1272252 1696336 1908378 2544504 3392672 3816756 5089008 7633512 10178016 15267024 30534048