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379496880 = 243357191321
BaseRepresentation
bin10110100111101…
…010100110110000
3222110002102212000
4112213222212300
51234122400010
6101353534000
712255445620
oct2647524660
9873072760
10379496880
11185241694
12a7114300
1360813189
1438588880
15234b37c0
hex169ea9b0

379496880 has 320 divisors, whose sum is σ = 1573708800. Its totient is φ = 82114560.

The previous prime is 379496857. The next prime is 379496881. The reversal of 379496880 is 88694973.

379496880 is a `hidden beast` number, since 3 + 79 + 496 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (379496881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286620 + ... + 287940.

It is an arithmetic number, because the mean of its divisors is an integer number (4917840).

Almost surely, 2379496880 is an apocalyptic number.

379496880 is a gapful number since it is divisible by the number (30) 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 379496880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786854400).

379496880 is an abundant number, since it is smaller than the sum of its proper divisors (1194211920).

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

379496880 is a wasteful number, since it uses less digits than its factorization.

379496880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 379496880 is about 19480.6796596012. The cubic root of 379496880 is about 723.9958385239.

The spelling of 379496880 in words is "three hundred seventy-nine million, four hundred ninety-six thousand, eight hundred eighty".