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374740352 = 277835039
BaseRepresentation
bin10110010101100…
…001010110000000
3222010010210010022
4112111201112000
51231413142402
6101103553012
712200145320
oct2625412600
9863123108
10374740352
11182592a78
12a55bb768
135c83916c
1437aab280
1522d742a2
hex16561580

374740352 has 64 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 158636544.

The previous prime is 374740321. The next prime is 374740361. The reversal of 374740352 is 253047473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 71849 + ... + 76887.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2374740352 is an apocalyptic number.

374740352 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 374740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

374740352 is an abundant number, since it is smaller than the sum of its proper divisors (488914048).

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

374740352 is an equidigital number, since it uses as much as digits as its factorization.

374740352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 35.

The square root of 374740352 is about 19358.2114876349. The cubic root of 374740352 is about 720.9583124078.

The spelling of 374740352 in words is "three hundred seventy-four million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 332 448 581 664 896 1162 1328 2324 2656 4648 5039 5312 9296 10078 10624 18592 20156 35273 37184 40312 70546 74368 80624 141092 161248 282184 322496 418237 564368 644992 836474 1128736 1672948 2257472 2927659 3345896 4514944 5855318 6691792 11710636 13383584 23421272 26767168 46842544 53534336 93685088 187370176 374740352