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73430656 = 271344129
BaseRepresentation
bin1000110000001…
…11011010000000
312010011122220221
410120013122000
5122244240111
611141512424
71551102355
oct430073200
9163148827
1073430656
11384a45a2
1220712714
13122a01c0
149a7662c
1566a7371
hex4607680

73430656 has 32 divisors (see below), whose sum is σ = 157544100. Its totient is φ = 33890304.

The previous prime is 73430653. The next prime is 73430659. The reversal of 73430656 is 65603437.

It is an interprime number because it is at equal distance from previous prime (73430653) and next prime (73430659).

It can be written as a sum of positive squares in 2 ways, for example, as 52417600 + 21013056 = 7240^2 + 4584^2 .

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

It is a super-2 number, since 2×734306562 = 10784122481180672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73430653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20401 + ... + 23728.

Almost surely, 273430656 is an apocalyptic number.

It is an amenable number.

73430656 is an abundant number, since it is smaller than the sum of its proper divisors (84113444).

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

73430656 is a wasteful number, since it uses less digits than its factorization.

73430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44156 (or 44144 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 73430656 is about 8569.1689211965. The cubic root of 73430656 is about 418.7541615091.

The spelling of 73430656 in words is "seventy-three million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 44129 88258 176516 353032 573677 706064 1147354 1412128 2294708 2824256 4589416 5648512 9178832 18357664 36715328 73430656