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379650768 = 24376771669
BaseRepresentation
bin10110101000010…
…000001011010000
3222110101020221120
4112220100023100
51234142311033
6101401122240
712256656360
oct2650201320
9873336846
10379650768
11185337272
12a7189380
1360868233
14385c89a0
15234e41b3
hex16a102d0

379650768 has 80 divisors (see below), whose sum is σ = 1123201920. Its totient is φ = 108246528.

The previous prime is 379650751. The next prime is 379650773. The reversal of 379650768 is 867056973.

It is a self number, because there is not a number n which added to its sum of digits gives 379650768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226638 + ... + 228306.

It is an arithmetic number, because the mean of its divisors is an integer number (14040024).

Almost surely, 2379650768 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 379650768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600960).

379650768 is an abundant number, since it is smaller than the sum of its proper divisors (743551152).

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

379650768 is a wasteful number, since it uses less digits than its factorization.

379650768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 379650768 is about 19484.6290187932. The cubic root of 379650768 is about 724.0936866848.

The spelling of 379650768 in words is "three hundred seventy-nine million, six hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 677 1354 1669 2031 2708 3338 4062 4739 5007 5416 6676 8124 9478 10014 10832 11683 13352 14217 16248 18956 20028 23366 26704 28434 32496 35049 37912 40056 46732 56868 70098 75824 80112 93464 113736 140196 186928 227472 280392 560784 1129913 2259826 3389739 4519652 6779478 7909391 9039304 13558956 15818782 18078608 23728173 27117912 31637564 47456346 54235824 63275128 94912692 126550256 189825384 379650768