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379646112 = 25317922093
BaseRepresentation
bin10110101000001…
…111000010100000
3222110101000120010
4112220033002200
51234142133422
6101401044520
712256636656
oct2650170240
9873330503
10379646112
1118533381a
12a7186740
1360866091
14385c6dd6
15234e2b0c
hex16a0f0a0

379646112 has 48 divisors (see below), whose sum is σ = 1002183840. Its totient is φ = 125836032.

The previous prime is 379646093. The next prime is 379646129. The reversal of 379646112 is 211646973.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6138 + ... + 28230.

It is an arithmetic number, because the mean of its divisors is an integer number (20878830).

Almost surely, 2379646112 is an apocalyptic number.

379646112 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 379646112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501091920).

379646112 is an abundant number, since it is smaller than the sum of its proper divisors (622537728).

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

379646112 is a wasteful number, since it uses less digits than its factorization.

379646112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22285 (or 22277 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 379646112 is about 19484.5095396317. The cubic root of 379646112 is about 724.0907266013.

The spelling of 379646112 in words is "three hundred seventy-nine million, six hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 17184 22093 44186 66279 88372 132558 176744 265116 353488 530232 706976 1060464 2120928 3954647 7909294 11863941 15818588 23727882 31637176 47455764 63274352 94911528 126548704 189823056 379646112