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74216268 = 22327294509
BaseRepresentation
bin1000110110001…
…11001101001100
312011122120120200
410123013031030
5122444410033
611210413500
71560553650
oct433071514
9164576520
1074216268
1138990865
1220a31290
13124b6969
149bdca60
1567b0013
hex46c734c

74216268 has 36 divisors (see below), whose sum is σ = 214403280. Its totient is φ = 21204576.

The previous prime is 74216251. The next prime is 74216269. The reversal of 74216268 is 86261247.

74216268 is a `hidden beast` number, since 7 + 4 + 21 + 626 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (74216269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147003 + ... + 147506.

Almost surely, 274216268 is an apocalyptic number.

It is an amenable number.

74216268 is an abundant number, since it is smaller than the sum of its proper divisors (140187012).

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

74216268 is a wasteful number, since it uses less digits than its factorization.

74216268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294526 (or 294521 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 74216268 is about 8614.8864182878. The cubic root of 74216268 is about 420.2422412093.

It can be divided in two parts, 7421 and 6268, that added together give a square (13689 = 1172).

The spelling of 74216268 in words is "seventy-four million, two hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 294509 589018 883527 1178036 1767054 2061563 2650581 3534108 4123126 5301162 6184689 8246252 10602324 12369378 18554067 24738756 37108134 74216268