Search a number
-
+
379800576 = 2103419241
BaseRepresentation
bin10110101000110…
…100110000000000
3222110122212110000
4112220310300000
51234212104301
6101404240000
712261152211
oct2650646000
9873585400
10379800576
11185429881
12a7240000
13608bb48c
1438627408
1523523786
hex16a34c00

379800576 has 220 divisors, whose sum is σ = 1198805080. Its totient is φ = 119439360.

The previous prime is 379800521. The next prime is 379800583. The reversal of 379800576 is 675008973.

It is a happy number.

379800576 is a `hidden beast` number, since 3 + 79 + 8 + 0 + 0 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575816 + ... + 1576056.

It is an arithmetic number, because the mean of its divisors is an integer number (5449114).

Almost surely, 2379800576 is an apocalyptic number.

379800576 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 379800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599402540).

379800576 is an abundant number, since it is smaller than the sum of its proper divisors (819004504).

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

379800576 is a wasteful number, since it uses less digits than its factorization.

379800576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 379800576 is about 19488.4729006662. The cubic root of 379800576 is about 724.1889152224.

The spelling of 379800576 in words is "three hundred seventy-nine million, eight hundred thousand, five hundred seventy-six".