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74400414 = 23113730467
BaseRepresentation
bin1000110111101…
…00001010011110
312011222221011220
410123310022132
5123021303124
611214354210
71562251554
oct433641236
9164887156
1074400414
1138aa7150
1220abb966
131254c71a
149c49bd4
1567e9879
hex46f429e

74400414 has 32 divisors (see below), whose sum is σ = 166720896. Its totient is φ = 21935520.

The previous prime is 74400407. The next prime is 74400427. The reversal of 74400414 is 41400447.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12792 + ... + 17675.

It is an arithmetic number, because the mean of its divisors is an integer number (5210028).

Almost surely, 274400414 is an apocalyptic number.

74400414 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

74400414 is an abundant number, since it is smaller than the sum of its proper divisors (92320482).

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

74400414 is a wasteful number, since it uses less digits than its factorization.

74400414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30520.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 74400414 is about 8625.5674595936. The cubic root of 74400414 is about 420.5895236151.

The spelling of 74400414 in words is "seventy-four million, four hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 30467 60934 91401 182802 335137 670274 1005411 1127279 2010822 2254558 3381837 6763674 12400069 24800138 37200207 74400414