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3358689056 = 252911332029
BaseRepresentation
bin1100100000110001…
…1000011100100000
322200001222002012222
43020030120130200
523334311022211
61313140210212
7146142246242
oct31014303440
98601862188
103358689056
11147398a888
12798999968
13416ac0698
1423c0d6092
15149ce71db
hexc8318720

3358689056 has 48 divisors (see below), whose sum is σ = 6901183800. Its totient is φ = 1607036928.

The previous prime is 3358689041. The next prime is 3358689119. The reversal of 3358689056 is 6509868533.

It can be written as a sum of positive squares in 4 ways, for example, as 769507600 + 2589181456 = 27740^2 + 50884^2 .

It is a super-2 number, since 2×33586890562 = 22561584349788342272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3358688989 and 3358689007.

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, 88850 + ... + 120878.

Almost surely, 23358689056 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 3358689056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450591900).

3358689056 is an abundant number, since it is smaller than the sum of its proper divisors (3542494744).

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

3358689056 is a wasteful number, since it uses less digits than its factorization.

3358689056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32181 (or 32173 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The square root of 3358689056 is about 57954.1979152503. The cubic root of 3358689056 is about 1497.5796605905.

The spelling of 3358689056 in words is "three billion, three hundred fifty-eight million, six hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 113 116 226 232 452 464 904 928 1808 3277 3616 6554 13108 26216 32029 52432 64058 104864 128116 256232 512464 928841 1024928 1857682 3619277 3715364 7238554 7430728 14477108 14861456 28954216 29722912 57908432 104959033 115816864 209918066 419836132 839672264 1679344528 3358689056