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377426112 = 26371716519
BaseRepresentation
bin10110011111110…
…001000011000000
3222022012020021220
4112133301003000
51233110113422
6101241315040
712232032450
oct2637610300
9868166256
10377426112
11184057908
12a6495a80
136026977b
14381a9d60
1523204e5c
hex167f10c0

377426112 has 112 divisors (see below), whose sum is σ = 1208471040. Its totient is φ = 101486592.

The previous prime is 377426081. The next prime is 377426143. The reversal of 377426112 is 211624773.

It is an interprime number because it is at equal distance from previous prime (377426081) and next prime (377426143).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14589 + ... + 31107.

It is an arithmetic number, because the mean of its divisors is an integer number (10789920).

Almost surely, 2377426112 is an apocalyptic number.

377426112 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 377426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604235520).

377426112 is an abundant number, since it is smaller than the sum of its proper divisors (831044928).

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

377426112 is a wasteful number, since it uses less digits than its factorization.

377426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16558 (or 16548 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 377426112 is about 19427.4576823629. The cubic root of 377426112 is about 722.6765807626.

The spelling of 377426112 in words is "three hundred seventy-seven million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 16519 22848 33038 49557 66076 99114 115633 132152 198228 231266 264304 280823 346899 396456 462532 528608 561646 693798 792912 842469 925064 1057216 1123292 1387596 1585824 1684938 1850128 1965761 2246584 2775192 3171648 3369876 3700256 3931522 4493168 5550384 5897283 6739752 7400512 7863044 8986336 11100768 11794566 13479504 15726088 17972672 22201536 23589132 26959008 31452176 47178264 53918016 62904352 94356528 125808704 188713056 377426112