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2434341144 = 233223454847
BaseRepresentation
bin1001000100011001…
…0001100100011000
320021122122100021010
42101012101210120
514441142404034
61041320213520
7114216362334
oct22106214430
96248570233
102434341144
11103a138594
1257b30a2a0
132ca450861
1419143c7c4
15e3aab3e9
hex91191918

2434341144 has 32 divisors (see below), whose sum is σ = 6113157120. Its totient is φ = 807806496.

The previous prime is 2434341127. The next prime is 2434341149. The reversal of 2434341144 is 4411434342.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434341149) by changing a digit.

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, 222072 + ... + 232775.

It is an arithmetic number, because the mean of its divisors is an integer number (191036160).

Almost surely, 22434341144 is an apocalyptic number.

2434341144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2434341144 is an abundant number, since it is smaller than the sum of its proper divisors (3678815976).

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

2434341144 is a wasteful number, since it uses less digits than its factorization.

2434341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455079 (or 455075 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 2434341144 is about 49339.0427957414. The cubic root of 2434341144 is about 1345.2215412444.

Adding to 2434341144 its reverse (4411434342), we get a palindrome (6845775486).

The spelling of 2434341144 in words is "two billion, four hundred thirty-four million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 223 446 669 892 1338 1784 2676 5352 454847 909694 1364541 1819388 2729082 3638776 5458164 10916328 101430881 202861762 304292643 405723524 608585286 811447048 1217170572 2434341144