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379916324352 = 293515431979
BaseRepresentation
bin1011000011101001100…
…01110000111000000000
31100022122000120221100000
411201310301300320000
522211032034334402
6450310421200000
736306452321535
oct5416461607000
91308560527300
10379916324352
11137137951654
1261769260000
1329a978172b6
1414560b38d8c
159d3864ec1c
hex5874c70e00

379916324352 has 240 divisors, whose sum is σ = 1138385888640. Its totient is φ = 126492751872.

The previous prime is 379916324341. The next prime is 379916324353. The reversal of 379916324352 is 253423619973.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379916324353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191972899 + ... + 191974877.

It is an arithmetic number, because the mean of its divisors is an integer number (4743274536).

Almost surely, 2379916324352 is an apocalyptic number.

379916324352 is a gapful number since it is divisible by the number (32) 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 379916324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569192944320).

379916324352 is an abundant number, since it is smaller than the sum of its proper divisors (758469564288).

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

379916324352 is an equidigital number, since it uses as much as digits as its factorization.

379916324352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3527 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 379916324352 in words is "three hundred seventy-nine billion, nine hundred sixteen million, three hundred twenty-four thousand, three hundred fifty-two".