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30999024 = 243571767
BaseRepresentation
bin111011001000…
…0000111110000
32011022220200000
41312100013300
530413432044
63024230000
7524326110
oct166200760
964286600
1030999024
1116553031
12a46b300
136564924
14418d040
152ac4d69
hex1d901f0

30999024 has 240 divisors, whose sum is σ = 110492928. Its totient is φ = 8211456.

The previous prime is 30998987. The next prime is 30999029. The reversal of 30999024 is 42099903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30999024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30999029) 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 47 ways as a sum of consecutive naturals, for example, 462639 + ... + 462705.

Almost surely, 230999024 is an apocalyptic number.

30999024 is a gapful number since it is divisible by the number (34) 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 30999024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55246464).

30999024 is an abundant number, since it is smaller than the sum of its proper divisors (79493904).

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

30999024 is a wasteful number, since it uses less digits than its factorization.

30999024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 30999024 is about 5567.6767147528. The cubic root of 30999024 is about 314.1347684438.

The spelling of 30999024 in words is "thirty million, nine hundred ninety-nine thousand, twenty-four".