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74218464 = 25331731163
BaseRepresentation
bin1000110110001…
…11101111100000
312011122200121000
410123013233200
5122444442324
611210432000
71560563235
oct433075740
9164580530
1074218464
1138992481
1220a32600
13124b7968
149bdd78c
1567b09c9
hex46c7be0

74218464 has 192 divisors, whose sum is σ = 238049280. Its totient is φ = 22394880.

The previous prime is 74218451. The next prime is 74218471. The reversal of 74218464 is 46481247.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455247 + ... + 455409.

It is an arithmetic number, because the mean of its divisors is an integer number (1239840).

Almost surely, 274218464 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 74218464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

74218464 is an abundant number, since it is smaller than the sum of its proper divisors (163830816).

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

74218464 is a wasteful number, since it uses less digits than its factorization.

74218464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 74218464 is about 8615.0138711438. The cubic root of 74218464 is about 420.2463860457.

The spelling of 74218464 in words is "seventy-four million, two hundred eighteen thousand, four hundred sixty-four".