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379581696 = 283213192329
BaseRepresentation
bin10110100111111…
…111010100000000
3222110020202012100
4112213333110000
51234133103241
6101355430400
712256251114
oct2647772400
9873222170
10379581696
1118529a38a
12a7155400
1360842970
14385ab744
15234cd9b6
hex169ff500

379581696 has 432 divisors, whose sum is σ = 1339228800. Its totient is φ = 102187008.

The previous prime is 379581689. The next prime is 379581703. The reversal of 379581696 is 696185973.

It is an interprime number because it is at equal distance from previous prime (379581689) and next prime (379581703).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13089010 + ... + 13089038.

Almost surely, 2379581696 is an apocalyptic number.

379581696 is a gapful number since it is divisible by the number (36) 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 379581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669614400).

379581696 is an abundant number, since it is smaller than the sum of its proper divisors (959647104).

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

379581696 is a wasteful number, since it uses less digits than its factorization.

379581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 379581696 is about 19482.8564640814. The cubic root of 379581696 is about 724.0497712088.

It can be divided in two parts, 3795 and 81696, that added together give a triangular number (85491 = T413).

The spelling of 379581696 in words is "three hundred seventy-nine million, five hundred eighty-one thousand, six hundred ninety-six".