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73007316 = 223217119293
BaseRepresentation
bin1000101101000…
…00000011010100
312002101011012200
410112200003110
5122142213231
611124444500
71544360214
oct426400324
9162334180
1073007316
1138235528
1220549730
13121825c5
1499a6244
156621be6
hex45a00d4

73007316 has 36 divisors (see below), whose sum is σ = 195403572. Its totient is φ = 22904064.

The previous prime is 73007303. The next prime is 73007321. The reversal of 73007316 is 61370037.

It can be written as a sum of positive squares in 2 ways, for example, as 31404816 + 41602500 = 5604^2 + 6450^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 73007316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59035 + ... + 60258.

It is an arithmetic number, because the mean of its divisors is an integer number (5427877).

Almost surely, 273007316 is an apocalyptic number.

It is an amenable number.

73007316 is an abundant number, since it is smaller than the sum of its proper divisors (122396256).

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

73007316 is a wasteful number, since it uses less digits than its factorization.

73007316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119320 (or 119315 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 73007316 is about 8544.4318711076. The cubic root of 73007316 is about 417.9478808364.

The spelling of 73007316 in words is "seventy-three million, seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 119293 238586 357879 477172 715758 1073637 1431516 2027981 2147274 4055962 4294548 6083943 8111924 12167886 18251829 24335772 36503658 73007316