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34350006465 = 325763333477
BaseRepresentation
bin11111111111011010…
…111000000011000001
310021122220121010102200
4133333122320003001
51030322100201330
623440303503413
72324140144305
oct377732700301
9107586533380
1034350006465
11136277572a5
1267a78b7b69
133315672918
14193c06bd05
15d60989a60
hex7ff6b80c1

34350006465 has 12 divisors (see below), whose sum is σ = 59540011284. Its totient is φ = 18320003424.

The previous prime is 34350006451. The next prime is 34350006479. The reversal of 34350006465 is 56460005343.

34350006465 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 0 + 0 + 0 + 646 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (34350006451) and next prime (34350006479).

It can be written as a sum of positive squares in 2 ways, for example, as 6650728704 + 27699277761 = 81552^2 + 166431^2 .

It is not a de Polignac number, because 34350006465 - 28 = 34350006209 is a prime.

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, 381666694 + ... + 381666783.

It is an arithmetic number, because the mean of its divisors is an integer number (4961667607).

Almost surely, 234350006465 is an apocalyptic number.

It is an amenable number.

34350006465 is a deficient number, since it is larger than the sum of its proper divisors (25190004819).

34350006465 is a wasteful number, since it uses less digits than its factorization.

34350006465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763333488 (or 763333485 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34350006465 in words is "thirty-four billion, three hundred fifty million, six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 763333477 2290000431 3816667385 6870001293 11450002155 34350006465