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74238304 = 2573110691
BaseRepresentation
bin1000110110011…
…00100101100000
312011200200210211
410123030211200
5123001111204
611211103504
71561005130
oct433144540
9164620724
1074238304
11389a6378
1220a41b94
13124c39ba
149c06ac0
1567b6804
hex46cc960

74238304 has 48 divisors (see below), whose sum is σ = 172440576. Its totient is φ = 30787200.

The previous prime is 74238287. The next prime is 74238341. The reversal of 74238304 is 40383247.

It is a happy number.

It is a super-2 number, since 2×742383042 = 11022651561592832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 1599 + ... + 12289.

It is an arithmetic number, because the mean of its divisors is an integer number (3592512).

Almost surely, 274238304 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 74238304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86220288).

74238304 is an abundant number, since it is smaller than the sum of its proper divisors (98202272).

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

74238304 is a wasteful number, since it uses less digits than its factorization.

74238304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 74238304 is about 8616.1652723239. The cubic root of 74238304 is about 420.2838293135.

The spelling of 74238304 in words is "seventy-four million, two hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 10691 21382 42764 74837 85528 149674 171056 299348 331421 342112 598696 662842 1197392 1325684 2319947 2394784 2651368 4639894 5302736 9279788 10605472 18559576 37119152 74238304