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2302341144 = 2331722724859
BaseRepresentation
bin1000100100111010…
…1111000000011000
312221110021001022020
42021032233000120
514203344404034
61020243054440
7111024401565
oct21116570030
95843231266
102302341144
11a8167aa84
12543071420
132a8cb494c
1417babb86c
15d71d5249
hex893af018

2302341144 has 64 divisors (see below), whose sum is σ = 6121526400. Its totient is φ = 719092224.

The previous prime is 2302341143. The next prime is 2302341163. The reversal of 2302341144 is 4411432032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302341143) 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 15 ways as a sum of consecutive naturals, for example, 80187 + ... + 105045.

It is an arithmetic number, because the mean of its divisors is an integer number (95648850).

Almost surely, 22302341144 is an apocalyptic number.

2302341144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060763200).

2302341144 is an abundant number, since it is smaller than the sum of its proper divisors (3819185256).

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

2302341144 is a wasteful number, since it uses less digits than its factorization.

2302341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25112 (or 25108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2302341144 is about 47982.7171385698. The cubic root of 2302341144 is about 1320.4538430233.

Adding to 2302341144 its reverse (4411432032), we get a palindrome (6713773176).

The spelling of 2302341144 in words is "two billion, three hundred two million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 227 408 454 681 908 1362 1816 2724 3859 5448 7718 11577 15436 23154 24859 30872 46308 49718 74577 92616 99436 149154 198872 298308 422603 596616 845206 1267809 1690412 2535618 3380824 5071236 5642993 10142472 11285986 16928979 22571972 33857958 45143944 67715916 95930881 135431832 191861762 287792643 383723524 575585286 767447048 1151170572 2302341144