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379378656 = 25326719661
BaseRepresentation
bin10110100111001…
…101101111100000
3222102212102200100
4112213031233200
51234110104111
6101351222400
712254444136
oct2647155740
9872772610
10379378656
11185170888
12a7077a00
13607a1417
1438557756
152348d756
hex169cdbe0

379378656 has 72 divisors (see below), whose sum is σ = 1095016104. Its totient is φ = 124565760.

The previous prime is 379378607. The next prime is 379378661. The reversal of 379378656 is 656873973.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9466 + ... + 29126.

It is an arithmetic number, because the mean of its divisors is an integer number (15208557).

Almost surely, 2379378656 is an apocalyptic number.

379378656 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 379378656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547508052).

379378656 is an abundant number, since it is smaller than the sum of its proper divisors (715637448).

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

379378656 is a wasteful number, since it uses less digits than its factorization.

379378656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19744 (or 19733 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 379378656 is about 19477.6450321901. The cubic root of 379378656 is about 723.9206489960.

The spelling of 379378656 in words is "three hundred seventy-nine million, three hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 19661 39322 58983 78644 117966 157288 176949 235932 314576 353898 471864 629152 707796 943728 1317287 1415592 1887456 2634574 2831184 3951861 5269148 5662368 7903722 10538296 11855583 15807444 21076592 23711166 31614888 42153184 47422332 63229776 94844664 126459552 189689328 379378656