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74239344 = 24321393709
BaseRepresentation
bin1000110110011…
…00110101110000
312011200202020100
410123030311300
5123001124334
611211112400
71561011144
oct433146560
9164622210
1074239344
11389a7133
1220a42700
13124c430a
149c07224
1567b6c99
hex46ccd70

74239344 has 60 divisors (see below), whose sum is σ = 209318200. Its totient is φ = 24561792.

The previous prime is 74239337. The next prime is 74239351. The reversal of 74239344 is 44393247.

It is an interprime number because it is at equal distance from previous prime (74239337) and next prime (74239351).

It is a super-2 number, since 2×742393442 = 11022960395100672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74239299 and 74239308.

It is a congruent number.

It is an unprimeable number.

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, 18162 + ... + 21870.

Almost surely, 274239344 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 74239344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104659100).

74239344 is an abundant number, since it is smaller than the sum of its proper divisors (135078856).

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

74239344 is a wasteful number, since it uses less digits than its factorization.

74239344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3853 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 74239344 is about 8616.2256237868. The cubic root of 74239344 is about 420.2857918814.

The spelling of 74239344 in words is "seventy-four million, two hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 3709 5004 6672 7418 10008 11127 14836 20016 22254 29672 33381 44508 59344 66762 89016 133524 178032 267048 515551 534096 1031102 1546653 2062204 3093306 4124408 4639959 6186612 8248816 9279918 12373224 18559836 24746448 37119672 74239344