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3426240064 = 26134118077
BaseRepresentation
bin1100110000111000…
…0100011001000000
322211210002000210011
43030032010121000
524004104140224
61323552114304
7150622363042
oct31416043100
98753060704
103426240064
1114a9028965
127b7535994
13427ab25b0
1424707ba92
15150bdc394
hexcc384640

3426240064 has 28 divisors (see below), whose sum is σ = 7321942684. Its totient is φ = 1581341184.

The previous prime is 3426240053. The next prime is 3426240079. The reversal of 3426240064 is 4600426243.

It can be written as a sum of positive squares in 2 ways, for example, as 357966400 + 3068273664 = 18920^2 + 55392^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2058207 + ... + 2059870.

It is an arithmetic number, because the mean of its divisors is an integer number (261497953).

Almost surely, 23426240064 is an apocalyptic number.

It is an amenable number.

3426240064 is an abundant number, since it is smaller than the sum of its proper divisors (3895702620).

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

3426240064 is a wasteful number, since it uses less digits than its factorization.

3426240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118102 (or 4118092 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 3426240064 is about 58534.0931765411. The cubic root of 3426240064 is about 1507.5530246368.

The spelling of 3426240064 in words is "three billion, four hundred twenty-six million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 4118077 8236154 16472308 32944616 53535001 65889232 107070002 131778464 214140004 263556928 428280008 856560016 1713120032 3426240064