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74416320 = 263651129
BaseRepresentation
bin1000110111110…
…00000011000000
312012000202000000
410123320003000
5123022310240
611215000000
71562346126
oct433700300
9165022000
1074416320
11390080a0
1220b09000
1312556a34
149c51916
1567ee430
hex46f80c0

74416320 has 392 divisors, whose sum is σ = 299831760. Its totient is φ = 17418240.

The previous prime is 74416313. The next prime is 74416333. The reversal of 74416320 is 2361447.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2566066 + ... + 2566094.

Almost surely, 274416320 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 74416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149915880).

74416320 is an abundant number, since it is smaller than the sum of its proper divisors (225415440).

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

74416320 is a wasteful number, since it uses less digits than its factorization.

74416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74416320 is about 8626.4894366133. The cubic root of 74416320 is about 420.6194939693.

Adding to 74416320 its reverse (2361447), we get a palindrome (76777767).

The spelling of 74416320 in words is "seventy-four million, four hundred sixteen thousand, three hundred twenty".