Search a number
-
+
2434566920 = 235113538621
BaseRepresentation
bin1001000100011100…
…1000101100001000
320021200001210222012
42101013020230020
514441222120140
61041325115052
7114221322512
oct22107105410
96250053865
102434566920
11103a282185
1257b3b8a88
132ca4cc556
1419149abb2
15e3b03265
hex911c8b08

2434566920 has 32 divisors (see below), whose sum is σ = 5526261720. Its totient is φ = 965207040.

The previous prime is 2434566917. The next prime is 2434566931. The reversal of 2434566920 is 296654342.

It can be written as a sum of positive squares in 4 ways, for example, as 1762824196 + 671742724 = 41986^2 + 25918^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264791 + ... + 273830.

Almost surely, 22434566920 is an apocalyptic number.

2434566920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434566920 is an abundant number, since it is smaller than the sum of its proper divisors (3091694800).

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

2434566920 is a wasteful number, since it uses less digits than its factorization.

2434566920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538745 (or 538741 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 2434566920 is about 49341.3307481669. The cubic root of 2434566920 is about 1345.2631280410.

The spelling of 2434566920 in words is "two billion, four hundred thirty-four million, five hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 538621 1077242 2154484 2693105 4308968 5386210 10772420 21544840 60864173 121728346 243456692 304320865 486913384 608641730 1217283460 2434566920