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34096380264 = 2332473560837
BaseRepresentation
bin11111110000010011…
…010111100101101000
310021000020100120200200
4133300103113211220
51024312133132024
623355203432200
72314640310312
oct376023274550
9107006316620
1034096380264
1113507577171
126736985660
1332a4c6084b
1419164ca7b2
15d4858b2c9
hex7f04d7968

34096380264 has 24 divisors (see below), whose sum is σ = 92344363410. Its totient is φ = 11365460064.

The previous prime is 34096380229. The next prime is 34096380287. The reversal of 34096380264 is 46208369043.

34096380264 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 6 + 380 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20983840164 + 13112540100 = 144858^2 + 114510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236780347 + ... + 236780490.

Almost surely, 234096380264 is an apocalyptic number.

It is an amenable number.

34096380264 is an abundant number, since it is smaller than the sum of its proper divisors (58247983146).

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

34096380264 is a wasteful number, since it uses less digits than its factorization.

34096380264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473560849 (or 473560842 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34096380264 in words is "thirty-four billion, ninety-six million, three hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 473560837 947121674 1420682511 1894243348 2841365022 3788486696 4262047533 5682730044 8524095066 11365460088 17048190132 34096380264