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73097344 = 271733301
BaseRepresentation
bin1000101101101…
…10000010000000
312002112201201001
410112312002000
5122203103334
611130421344
71545213535
oct426660200
9162481631
1073097344
1138297131
1220591854
13121b4588
1499cad8c
15663d714
hex45b6080

73097344 has 32 divisors (see below), whose sum is σ = 146509740. Its totient is φ = 36326400.

The previous prime is 73097329. The next prime is 73097369. The reversal of 73097344 is 44379037.

It can be written as a sum of positive squares in 2 ways, for example, as 72590400 + 506944 = 8520^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20494 + ... + 23794.

Almost surely, 273097344 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 73097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73254870).

73097344 is an abundant number, since it is smaller than the sum of its proper divisors (73412396).

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

73097344 is a wasteful number, since it uses less digits than its factorization.

73097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 73097344 is about 8549.6984742153. The cubic root of 73097344 is about 418.1196058910.

It can be divided in two parts, 73097 and 344, that added together give a square (73441 = 2712).

The spelling of 73097344 in words is "seventy-three million, ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 3301 5536 6602 11072 13204 22144 26408 52816 105632 211264 422528 571073 1142146 2284292 4568584 9137168 18274336 36548672 73097344