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30666024 = 23321014217
BaseRepresentation
bin111010011111…
…0110100101000
32010200222212200
41310332310220
530322303044
63013140200
7521441214
oct164766450
963628780
1030666024
1116345924
12a32a660
13647919c
144103944
152a5b369
hex1d3ed28

30666024 has 48 divisors (see below), whose sum is σ = 83896020. Its totient is φ = 10118400.

The previous prime is 30666023. The next prime is 30666029. The reversal of 30666024 is 42066603.

It can be written as a sum of positive squares in 2 ways, for example, as 23213124 + 7452900 = 4818^2 + 2730^2 .

It is not an unprimeable number, because it can be changed into a prime (30666023) 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, 5164 + ... + 9380.

Almost surely, 230666024 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 30666024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41948010).

30666024 is an abundant number, since it is smaller than the sum of its proper divisors (53229996).

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

30666024 is a wasteful number, since it uses less digits than its factorization.

30666024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30666024 is about 5537.6912156602. The cubic root of 30666024 is about 313.0058758981.

The spelling of 30666024 in words is "thirty million, six hundred sixty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 4217 7272 8434 12651 16868 25302 33736 37953 50604 75906 101208 151812 303624 425917 851834 1277751 1703668 2555502 3407336 3833253 5111004 7666506 10222008 15333012 30666024