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930296304 = 24327172332
BaseRepresentation
bin110111011100110…
…011000111110000
32101211111221121200
4313130303013300
53401123440204
6232151251200
732024250060
oct6734630760
92354457550
10930296304
11438145423
1221b679b00
1311a9734b2
148b7a53a0
1556a13539
hex377331f0

930296304 has 180 divisors, whose sum is σ = 3164078736. Its totient is φ = 249090048.

The previous prime is 930296293. The next prime is 930296317. The reversal of 930296304 is 403692039.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3992572 + ... + 3992804.

Almost surely, 2930296304 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 930296304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582039368).

930296304 is an abundant number, since it is smaller than the sum of its proper divisors (2233782432).

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

930296304 is a wasteful number, since it uses less digits than its factorization.

930296304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 930296304 is about 30500.7590725215. The cubic root of 930296304 is about 976.2036605811.

The spelling of 930296304 in words is "nine hundred thirty million, two hundred ninety-six thousand, three hundred four".