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3426359808 = 2934794657
BaseRepresentation
bin1100110000111010…
…0001101000000000
322211210022010001010
43030032201220000
524004122003213
61323554440520
7150623402124
oct31416415000
98753263033
103426359808
1114a90aa923
127b7593140
13427b24c51
142470ad584
15150c12ac3
hexcc3a1a00

3426359808 has 80 divisors (see below), whose sum is σ = 9149057280. Its totient is φ = 1139490816.

The previous prime is 3426359789. The next prime is 3426359821. The reversal of 3426359808 is 8089536243.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 733416 + ... + 738072.

It is an arithmetic number, because the mean of its divisors is an integer number (114363216).

Almost surely, 23426359808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574528640).

3426359808 is an abundant number, since it is smaller than the sum of its proper divisors (5722697472).

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

3426359808 is an equidigital number, since it uses as much as digits as its factorization.

3426359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 3426359808 is about 58535.1160244857. The cubic root of 3426359808 is about 1507.5705869717.

The spelling of 3426359808 in words is "three billion, four hundred twenty-six million, three hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 479 512 768 958 1437 1536 1916 2874 3832 4657 5748 7664 9314 11496 13971 15328 18628 22992 27942 30656 37256 45984 55884 61312 74512 91968 111768 122624 149024 183936 223536 245248 298048 367872 447072 596096 735744 894144 1192192 1788288 2230703 2384384 3576576 4461406 6692109 7153152 8922812 13384218 17845624 26768436 35691248 53536872 71382496 107073744 142764992 214147488 285529984 428294976 571059968 856589952 1142119936 1713179904 3426359808