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74078304 = 2531973917
BaseRepresentation
bin1000110101001…
…01100001100000
312011101120022220
410122211201200
5122431001204
611203431040
71556440506
oct432454140
9164346286
1074078304
11388a7143
1220985480
1312468c21
149ba4676
1567841d9
hex46a5860

74078304 has 48 divisors (see below), whose sum is σ = 195492528. Its totient is φ = 24561152.

The previous prime is 74078297. The next prime is 74078309. The reversal of 74078304 is 40387047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74078309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16954 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (4072761).

Almost surely, 274078304 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 74078304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97746264).

74078304 is an abundant number, since it is smaller than the sum of its proper divisors (121414224).

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

74078304 is a wasteful number, since it uses less digits than its factorization.

74078304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4119 counting only the distinct ones).

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

The square root of 74078304 is about 8606.8753912207. The cubic root of 74078304 is about 419.9816772052.

The spelling of 74078304 in words is "seventy-four million, seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 3917 4728 6304 7834 9456 11751 15668 18912 23502 31336 47004 62672 94008 125344 188016 376032 771649 1543298 2314947 3086596 4629894 6173192 9259788 12346384 18519576 24692768 37039152 74078304