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374008272 = 243112832503
BaseRepresentation
bin10110010010101…
…110100111010000
3222001202120220020
4112102232213100
51231221231042
6101040143440
712161006061
oct2622564720
9861676806
10374008272
11182132a50
12a5307b80
135c640b91
143795a568
1522c7c3ec
hex164ae9d0

374008272 has 80 divisors (see below), whose sum is σ = 1058170368. Its totient is φ = 112890240.

The previous prime is 374008253. The next prime is 374008277. The reversal of 374008272 is 272800473.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374008277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148173 + ... + 150675.

Almost surely, 2374008272 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 374008272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529085184).

374008272 is an abundant number, since it is smaller than the sum of its proper divisors (684162096).

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

374008272 is a wasteful number, since it uses less digits than its factorization.

374008272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 374008272 is about 19339.2934720997. The cubic root of 374008272 is about 720.4885264801.

The spelling of 374008272 in words is "three hundred seventy-four million, eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 283 528 566 849 1132 1698 2264 2503 3113 3396 4528 5006 6226 6792 7509 9339 10012 12452 13584 15018 18678 20024 24904 27533 30036 37356 40048 49808 55066 60072 74712 82599 110132 120144 149424 165198 220264 330396 440528 660792 708349 1321584 1416698 2125047 2833396 4250094 5666792 7791839 8500188 11333584 15583678 17000376 23375517 31167356 34000752 46751034 62334712 93502068 124669424 187004136 374008272