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74197312 = 267295711
BaseRepresentation
bin1000110110000…
…10100101000000
312011121121120121
410123002211000
5122443303222
611210150024
71560444460
oct433024500
9164547517
1074197312
11389785a2
1220a22314
13124ab147
149bd5ba0
1567a95c7
hex46c2940

74197312 has 56 divisors (see below), whose sum is σ = 174101760. Its totient is φ = 30696960.

The previous prime is 74197309. The next prime is 74197363. The reversal of 74197312 is 21379147.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×741973122 = 11010482216050688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 10137 + ... + 15847.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 274197312 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 74197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87050880).

74197312 is an abundant number, since it is smaller than the sum of its proper divisors (99904448).

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

74197312 is a wasteful number, since it uses less digits than its factorization.

74197312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5749 counting only the distinct ones).

The product of its digits is 10584, while the sum is 34.

The square root of 74197312 is about 8613.7861594075. The cubic root of 74197312 is about 420.2064593407.

The spelling of 74197312 in words is "seventy-four million, one hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 5711 6496 11422 12992 22844 39977 45688 79954 91376 159908 165619 182752 319816 331238 365504 639632 662476 1159333 1279264 1324952 2318666 2558528 2649904 4637332 5299808 9274664 10599616 18549328 37098656 74197312