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523298304 = 29321943139
BaseRepresentation
bin11111001100001…
…110011000000000
31100110200022022200
4133030032120000
52032431021204
6123532033200
715652651014
oct3714163000
91313608280
10523298304
1124942a841
12127302800
1384551889
144d6dc544
1530e1b539
hex1f30e600

523298304 has 240 divisors, whose sum is σ = 1638436800. Its totient is φ = 160247808.

The previous prime is 523298299. The next prime is 523298339. The reversal of 523298304 is 403892325.

It is a super-2 number, since 2×5232983042 = 547682229938552832, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3764667 + ... + 3764805.

It is an arithmetic number, because the mean of its divisors is an integer number (6826820).

Almost surely, 2523298304 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 523298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819218400).

523298304 is an abundant number, since it is smaller than the sum of its proper divisors (1115138496).

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

523298304 is a wasteful number, since it uses less digits than its factorization.

523298304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 523298304 is about 22875.7142839300. The cubic root of 523298304 is about 805.8417716313.

The spelling of 523298304 in words is "five hundred twenty-three million, two hundred ninety-eight thousand, three hundred four".