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3349978641 = 345921092
BaseRepresentation
bin1100011110101100…
…1001111000010001
322122110120112210000
43013223021320101
523330043304031
61312225400213
7146005230402
oct30753117021
98573515700
103349978641
111469a80599
12795a99069
13415060aa9
1423aca99a9
151491763e6
hexc7ac9e11

3349978641 has 45 divisors (see below), whose sum is σ = 5137675851. Its totient is φ = 2175324336.

The previous prime is 3349978613. The next prime is 3349978649. The reversal of 3349978641 is 1468799433.

It is a happy number.

The square root of 3349978641 is 57879.

It is a perfect power (a square), and thus also a powerful number.

3349978641 is a `hidden beast` number, since 33 + 499 + 7 + 86 + 41 = 666.

3349978641 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2334919041 + 1015059600 = 48321^2 + 31860^2 .

It is not a de Polignac number, because 3349978641 - 25 = 3349978609 is a prime.

It is a super-2 number, since 2×33499786412 = 22444713790312413762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3349978649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30733695 + ... + 30733803.

Almost surely, 23349978641 is an apocalyptic number.

3349978641 is the 57879-th square number.

3349978641 is the 28940-th centered octagonal number.

It is an amenable number.

3349978641 is a deficient number, since it is larger than the sum of its proper divisors (1787697210).

3349978641 is an frugal number, since it uses more digits than its factorization.

3349978641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The cubic root of 3349978641 is about 1496.2839335022.

The spelling of 3349978641 in words is "three billion, three hundred forty-nine million, nine hundred seventy-eight thousand, six hundred forty-one".

Divisors: 1 3 9 27 59 81 109 177 327 531 981 1593 2943 3481 4779 6431 8829 10443 11881 19293 31329 35643 57879 93987 106929 173637 281961 320787 379429 520911 700979 962361 1138287 2102937 3414861 6308811 10244583 18926433 30733749 41357761 56779299 124073283 372219849 1116659547 3349978641