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34147684000 = 25538536921
BaseRepresentation
bin11111110011010111…
…000100111010100000
310021010210220002012001
4133303113010322200
51024413301342000
623404235213344
72316132345013
oct376327047240
9107123802161
1034147684000
1113533528451
12674bba7254
1332b27844a1
14191d24337a
15d4cd2246a
hex7f35c4ea0

34147684000 has 48 divisors (see below), whose sum is σ = 83900869416. Its totient is φ = 13659072000.

The previous prime is 34147683971. The next prime is 34147684007. The reversal of 34147684000 is 48674143.

It can be written as a sum of positive squares in 4 ways, for example, as 3397957264 + 30749726736 = 58292^2 + 175356^2 .

It is not an unprimeable number, because it can be changed into a prime (34147684007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4264461 + ... + 4272460.

Almost surely, 234147684000 is an apocalyptic number.

It is an amenable number.

34147684000 is an abundant number, since it is smaller than the sum of its proper divisors (49753185416).

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

34147684000 is an equidigital number, since it uses as much as digits as its factorization.

34147684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536946 (or 8536928 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 34147684000 in words is "thirty-four billion, one hundred forty-seven million, six hundred eighty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 8536921 17073842 34147684 42684605 68295368 85369210 136590736 170738420 213423025 273181472 341476840 426846050 682953680 853692100 1067115125 1365907360 1707384200 2134230250 3414768400 4268460500 6829536800 8536921000 17073842000 34147684000