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73706436 = 2234227489
BaseRepresentation
bin1000110010010…
…10101111000100
312010200200020000
410121022233010
5122332101221
611151441300
71553331366
oct431125704
9163620200
1073706436
1138672811
1220826230
131236889b
149b08d36
15670de26
hex464abc4

73706436 has 30 divisors (see below), whose sum is σ = 192684030. Its totient is φ = 24568704.

The previous prime is 73706431. The next prime is 73706443. The reversal of 73706436 is 63460737.

73706436 is a `hidden beast` number, since 7 + 3 + 7 + 0 + 643 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60746436 + 12960000 = 7794^2 + 3600^2 .

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 73706436.

It is not an unprimeable number, because it can be changed into a prime (73706431) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 113421 + ... + 114068.

It is an arithmetic number, because the mean of its divisors is an integer number (6422801).

Almost surely, 273706436 is an apocalyptic number.

It is an amenable number.

73706436 is an abundant number, since it is smaller than the sum of its proper divisors (118977594).

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

73706436 is a wasteful number, since it uses less digits than its factorization.

73706436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227505 (or 227494 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 73706436 is about 8585.2452498458. The cubic root of 73706436 is about 419.2777382513.

The spelling of 73706436 in words is "seventy-three million, seven hundred six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 227489 454978 682467 909956 1364934 2047401 2729868 4094802 6142203 8189604 12284406 18426609 24568812 36853218 73706436