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3456720968 = 232331606017
BaseRepresentation
bin1100111000001001…
…0110000001001000
322220220102121201112
43032002112001020
524034410032333
61331001305452
7151442433461
oct31602260110
98826377645
103456720968
111514257698
12805795288
134311c542c
1424b133d68
1515370d948
hexce096048

3456720968 has 32 divisors (see below), whose sum is σ = 6981327360. Its totient is φ = 1599882240.

The previous prime is 3456720961. The next prime is 3456720989. The reversal of 3456720968 is 8690276543.

It is a happy number.

It is a super-2 number, since 2×34567209682 = 23897839701221714048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3456720961) by changing a digit.

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, 297305 + ... + 308712.

It is an arithmetic number, because the mean of its divisors is an integer number (218166480).

Almost surely, 23456720968 is an apocalyptic number.

It is an amenable number.

3456720968 is an abundant number, since it is smaller than the sum of its proper divisors (3524606392).

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

3456720968 is a wasteful number, since it uses less digits than its factorization.

3456720968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606077 (or 606073 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The square root of 3456720968 is about 58793.8854643916. The cubic root of 3456720968 is about 1512.0103871425.

The spelling of 3456720968 in words is "three billion, four hundred fifty-six million, seven hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 713 1426 2852 5704 606017 1212034 2424068 4848136 13938391 18786527 27876782 37573054 55753564 75146108 111507128 150292216 432090121 864180242 1728360484 3456720968