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73314132 = 223173111593
BaseRepresentation
bin1000101111010…
…10111101010100
312002221202002020
410113222331110
5122232023012
611135213140
71550105553
oct427527524
9162852066
1073314132
1138424aa1
12206771b0
131225c158
149a45d9a
156682a8c
hex45eaf54

73314132 has 48 divisors (see below), whose sum is σ = 186988032. Its totient is φ = 22256640.

The previous prime is 73314091. The next prime is 73314151. The reversal of 73314132 is 23141337.

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, 528 + ... + 12120.

It is an arithmetic number, because the mean of its divisors is an integer number (3895584).

Almost surely, 273314132 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 73314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93494016).

73314132 is an abundant number, since it is smaller than the sum of its proper divisors (113673900).

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

73314132 is a wasteful number, since it uses less digits than its factorization.

73314132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11646 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 73314132 is about 8562.3671960504. The cubic root of 73314132 is about 418.5325431572.

Adding to 73314132 its reverse (23141337), we get a palindrome (96455469).

The spelling of 73314132 in words is "seventy-three million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6324 11593 23186 34779 46372 69558 139116 197081 359383 394162 591243 718766 788324 1078149 1182486 1437532 2156298 2364972 4312596 6109511 12219022 18328533 24438044 36657066 73314132