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3343352128 = 26232519049
BaseRepresentation
bin1100011101000111…
…1000000101000000
322122000002212220121
43013101320011000
523321344232003
61311431350024
7145565011204
oct30721700500
98560085817
103343352128
111466264a36
12793822314
1341388088c
1423a062b04
151487b7cbd
hexc7478140

3343352128 has 56 divisors (see below), whose sum is σ = 6951268800. Its totient is φ = 1592448000.

The previous prime is 3343352123. The next prime is 3343352149. The reversal of 3343352128 is 8212533433.

It is a super-2 number, since 2×33433521282 = 22356006903604256768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3343352093 and 3343352102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343352123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364948 + ... + 373996.

It is an arithmetic number, because the mean of its divisors is an integer number (124129800).

Almost surely, 23343352128 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 3343352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475634400).

3343352128 is an abundant number, since it is smaller than the sum of its proper divisors (3607916672).

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

3343352128 is a wasteful number, since it uses less digits than its factorization.

3343352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9335 (or 9325 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 3343352128 is about 57821.7271274389. The cubic root of 3343352128 is about 1495.2966943950.

The spelling of 3343352128 in words is "three billion, three hundred forty-three million, three hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 251 368 502 736 1004 1472 2008 4016 5773 8032 9049 11546 16064 18098 23092 36196 46184 72392 92368 144784 184736 208127 289568 369472 416254 579136 832508 1665016 2271299 3330032 4542598 6660064 9085196 13320128 18170392 36340784 52239877 72681568 104479754 145363136 208959508 417919016 835838032 1671676064 3343352128