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2734976209 = 723122412
BaseRepresentation
bin1010001100000100…
…0110110011010001
321001121100012001011
42203001012303101
521100123214314
61131220010521
7124526625400
oct24301066321
97047305034
102734976209
111183906119
12643b30a41
13347811724
141bd339637
151101934c4
hexa3046cd1

2734976209 has 27 divisors (see below), whose sum is σ = 3301140123. Its totient is φ = 2259230400.

The previous prime is 2734976149. The next prime is 2734976219. The reversal of 2734976209 is 9026794372.

It is a happy number.

The square root of 2734976209 is 52297.

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

It can be written as a sum of positive squares in only one way, i.e., 2056894609 + 678081600 = 45353^2 + 26040^2 .

It is not a de Polignac number, because 2734976209 - 27 = 2734976081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2734976219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11348329 + ... + 11348569.

It is an arithmetic number, because the mean of its divisors is an integer number (122264449).

Almost surely, 22734976209 is an apocalyptic number.

2734976209 is the 52297-th square number.

2734976209 is the 26149-th centered octagonal number.

It is an amenable number.

2734976209 is a deficient number, since it is larger than the sum of its proper divisors (566163914).

2734976209 is an frugal number, since it uses more digits than its factorization.

2734976209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The cubic root of 2734976209 is about 1398.4636563177.

Multiplying 2734976209 by its sum of digits (49), we get a square (134013834241 = 3660792).

2734976209 divided by its sum of digits (49) gives a square (55815841 = 74712).

The spelling of 2734976209 in words is "two billion, seven hundred thirty-four million, nine hundred seventy-six thousand, two hundred nine".

Divisors: 1 7 31 49 217 241 961 1519 1687 6727 7471 11809 47089 52297 58081 231601 366079 406567 1621207 1800511 2845969 11348449 12603577 55815841 88225039 390710887 2734976209