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3456709919 = 131922761651
BaseRepresentation
bin1100111000001001…
…0011010100011111
322220220102001120022
43032002103110133
524034404204134
61331001142355
7151442356325
oct31602232437
98826361508
103456709919
11151424a363
1280578a9bb
134311c03b0
1424b12dd15
1515370a52e
hexce09351f

3456709919 has 16 divisors (see below), whose sum is σ = 3935863680. Its totient is φ = 3009506400.

The previous prime is 3456709913. The next prime is 3456709933. The reversal of 3456709919 is 9199076543.

It is a happy number.

3456709919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3456709919 - 212 = 3456705823 is a prime.

It is a super-2 number, since 2×34567099192 = 23897686928225973122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456709913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25244 + ... + 86894.

It is an arithmetic number, because the mean of its divisors is an integer number (245991480).

Almost surely, 23456709919 is an apocalyptic number.

3456709919 is a deficient number, since it is larger than the sum of its proper divisors (479153761).

3456709919 is a wasteful number, since it uses less digits than its factorization.

3456709919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61910.

The product of its (nonzero) digits is 1837080, while the sum is 53.

The square root of 3456709919 is about 58793.7915004637. The cubic root of 3456709919 is about 1512.0087761533.

The spelling of 3456709919 in words is "three billion, four hundred fifty-six million, seven hundred nine thousand, nine hundred nineteen".

Divisors: 1 13 19 227 247 2951 4313 56069 61651 801463 1171369 13994777 15227797 181932101 265900763 3456709919