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74021328 = 24321134549
BaseRepresentation
bin1000110100101…
…11100111010000
312011021200011200
410122113213100
5122422140303
611202311200
71556112423
oct432274720
9164250150
1074021328
1138868357
1220958500
1312449004
149b8b9ba
1567723a3
hex46979d0

74021328 has 60 divisors (see below), whose sum is σ = 209036100. Its totient is φ = 24450048.

The previous prime is 74021323. The next prime is 74021347. The reversal of 74021328 is 82312047.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 51667344 = 4728^2 + 7188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74021323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13998 + ... + 18546.

It is an arithmetic number, because the mean of its divisors is an integer number (3483935).

Almost surely, 274021328 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 74021328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104518050).

74021328 is an abundant number, since it is smaller than the sum of its proper divisors (135014772).

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

74021328 is a wasteful number, since it uses less digits than its factorization.

74021328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74021328 is about 8603.5648425522. The cubic root of 74021328 is about 419.8739757947.

The spelling of 74021328 in words is "seventy-four million, twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 4549 5424 8136 9098 13647 16272 18196 27294 36392 40941 54588 72784 81882 109176 163764 218352 327528 514037 655056 1028074 1542111 2056148 3084222 4112296 4626333 6168444 8224592 9252666 12336888 18505332 24673776 37010664 74021328