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379608768 = 2635711317
BaseRepresentation
bin10110101000000…
…101111011000000
3222110022010100000
4112220011323000
51234134440033
6101400200000
712256423050
oct2650057300
9873263300
10379608768
11185308760
12a7169000
1360852096
14385b7560
15234d6a13
hex16a05ec0

379608768 has 336 divisors, whose sum is σ = 1411248384. Its totient is φ = 98288640.

The previous prime is 379608751. The next prime is 379608797. The reversal of 379608768 is 867806973.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 1197346 + ... + 1197662.

It is an arithmetic number, because the mean of its divisors is an integer number (4200144).

Almost surely, 2379608768 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 379608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705624192).

379608768 is an abundant number, since it is smaller than the sum of its proper divisors (1031639616).

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

379608768 is a wasteful number, since it uses less digits than its factorization.

379608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 379608768 is about 19483.5512163466. The cubic root of 379608768 is about 724.0669840246.

The spelling of 379608768 in words is "three hundred seventy-nine million, six hundred eight thousand, seven hundred sixty-eight".