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3438766881 = 3211217772
BaseRepresentation
bin1100110011110111…
…0110101100100001
322212122122110100100
43030331312230201
524020311020011
61325120413013
7151134015264
oct31475665441
98778573310
103438766881
111505104500
127bb777169
1342a57a304
142489bccdb
15151d63d56
hexccf76b21

3438766881 has 27 divisors (see below), whose sum is σ = 5462787603. Its totient is φ = 2082928320.

The previous prime is 3438766873. The next prime is 3438766907. The reversal of 3438766881 is 1886678343.

The square root of 3438766881 is 58641.

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

3438766881 is a `hidden beast` number, since 3 + 438 + 76 + 68 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1742645025 + 1696121856 = 41745^2 + 41184^2 .

It is not a de Polignac number, because 3438766881 - 23 = 3438766873 is a prime.

It is a super-2 number, since 2×34387668812 = 23650235323724936322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3438766831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1934265 + ... + 1936041.

Almost surely, 23438766881 is an apocalyptic number.

3438766881 is the 58641-st square number.

3438766881 is the 29321-st centered octagonal number.

It is an amenable number.

3438766881 is a deficient number, since it is larger than the sum of its proper divisors (2024020722).

3438766881 is an equidigital number, since it uses as much as digits as its factorization.

3438766881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 1791 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The cubic root of 3438766881 is about 1509.3880655685.

The spelling of 3438766881 in words is "three billion, four hundred thirty-eight million, seven hundred sixty-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1777 5331 15993 19547 58641 175923 215017 645051 1935153 3157729 9473187 28419561 34735019 104205057 312615171 382085209 1146255627 3438766881