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34418412484 = 22927612
BaseRepresentation
bin100000000011011111…
…110100101111000100
310021211200022111211221
4200003133310233010
51030442103144414
623451150010124
72325630451621
oct400337645704
9107750274757
1034418412484
11136623297a5
1268067a6944
1333268a3a61
141947197348
15d6699d224
hex8037f4bc4

34418412484 has 9 divisors (see below), whose sum is σ = 60232871181. Its totient is φ = 17209020720.

The previous prime is 34418412481. The next prime is 34418412533. The reversal of 34418412484 is 48421481443.

The square root of 34418412484 is 185522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5870930884 + 28547481600 = 76622^2 + 168960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34418412484.

It is not an unprimeable number, because it can be changed into a prime (34418412481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 324664 + ... + 417424.

Almost surely, 234418412484 is an apocalyptic number.

34418412484 is the 185522-nd square number.

It is an amenable number.

34418412484 is a deficient number, since it is larger than the sum of its proper divisors (25814458697).

34418412484 is an frugal number, since it uses more digits than its factorization.

34418412484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185526 (or 92763 counting only the distinct ones).

The product of its digits is 393216, while the sum is 43.

The spelling of 34418412484 in words is "thirty-four billion, four hundred eighteen million, four hundred twelve thousand, four hundred eighty-four".

Divisors: 1 2 4 92761 185522 371044 8604603121 17209206242 34418412484