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72974340 = 22325405413
BaseRepresentation
bin1000101100110…
…00000000000100
312002022110222100
410112120000010
5122140134330
611124032100
71544162115
oct426300004
9162273870
1072974340
113821277a
1220532630
13121705aa
14999820c
156617060
hex4598004

72974340 has 36 divisors (see below), whose sum is σ = 221356044. Its totient is φ = 19459776.

The previous prime is 72974339. The next prime is 72974357. The reversal of 72974340 is 4347927.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 60186564 = 3576^2 + 7758^2 .

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 a junction number, because it is equal to n+sod(n) for n = 72974295 and 72974304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202527 + ... + 202886.

It is an arithmetic number, because the mean of its divisors is an integer number (6148779).

Almost surely, 272974340 is an apocalyptic number.

It is an amenable number.

72974340 is an abundant number, since it is smaller than the sum of its proper divisors (148381704).

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

72974340 is a wasteful number, since it uses less digits than its factorization.

72974340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405428 (or 405423 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72974340 is about 8542.5019754168. The cubic root of 72974340 is about 417.8849450209.

The spelling of 72974340 in words is "seventy-two million, nine hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 405413 810826 1216239 1621652 2027065 2432478 3648717 4054130 4864956 6081195 7297434 8108260 12162390 14594868 18243585 24324780 36487170 72974340