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374130368 = 2619893457
BaseRepresentation
bin10110010011001…
…100011011000000
3222001222210101022
4112103030123000
51231234132433
6101042525012
712162025043
oct2623143300
9861883338
10374130368
11182206757
12a5366768
135c684621
143798cc5a
1522ca3698
hex164cc6c0

374130368 has 56 divisors (see below), whose sum is σ = 790498800. Its totient is φ = 175177728.

The previous prime is 374130359. The next prime is 374130377. The reversal of 374130368 is 863031473.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (374130359) and next prime (374130377).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106496 + ... + 109952.

It is an arithmetic number, because the mean of its divisors is an integer number (14116050).

Almost surely, 2374130368 is an apocalyptic number.

374130368 is a gapful number since it is divisible by the number (38) 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 374130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395249400).

374130368 is an abundant number, since it is smaller than the sum of its proper divisors (416368432).

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

374130368 is a wasteful number, since it uses less digits than its factorization.

374130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 374130368 is about 19342.4498965359. The cubic root of 374130368 is about 720.5669197519.

The spelling of 374130368 in words is "three hundred seventy-four million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 152 178 304 356 608 712 1216 1424 1691 2848 3382 3457 5696 6764 6914 13528 13828 27056 27656 54112 55312 65683 108224 110624 131366 221248 262732 307673 525464 615346 1050928 1230692 2101856 2461384 4203712 4922768 5845787 9845536 11691574 19691072 23383148 46766296 93532592 187065184 374130368