Search a number
-
+
2149344306 = 2321748714423
BaseRepresentation
bin1000000000011100…
…0110010000110010
312112210101000002200
42000013012100302
513400213004211
6553135524030
7104156060634
oct20007062062
95483330080
102149344306
11a0328120a
124bb989616
132833a6985
14165652a54
15c8a62b56
hex801c6432

2149344306 has 48 divisors (see below), whose sum is σ = 4941316224. Its totient is φ = 672872832.

The previous prime is 2149344283. The next prime is 2149344343. The reversal of 2149344306 is 6034439412.

It is a happy number.

2149344306 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 344 + 306 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141811 + ... + 156233.

It is an arithmetic number, because the mean of its divisors is an integer number (102944088).

Almost surely, 22149344306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149344306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470658112).

2149344306 is an abundant number, since it is smaller than the sum of its proper divisors (2791971918).

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

2149344306 is a wasteful number, since it uses less digits than its factorization.

2149344306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14935 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2149344306 is about 46361.0214080751. The cubic root of 2149344306 is about 1290.5316611465.

The spelling of 2149344306 in words is "two billion, one hundred forty-nine million, three hundred forty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 487 974 1461 2922 4383 8279 8766 14423 16558 24837 28846 43269 49674 74511 86538 129807 149022 245191 259614 490382 735573 1471146 2206719 4413438 7024001 14048002 21072003 42144006 63216009 119408017 126432018 238816034 358224051 716448102 1074672153 2149344306