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2301330996 = 22321929311483
BaseRepresentation
bin1000100100101011…
…1000011000110100
312221101100201122100
42021022320120310
514203120042441
61020205302100
7111012663546
oct21112703064
95841321570
102301330996
11a81050048
12542864930
132a8a1cc23
1417b8d7696
15d7085cb6
hex892b8634

2301330996 has 72 divisors (see below), whose sum is σ = 6144858720. Its totient is φ = 724192704.

The previous prime is 2301330971. The next prime is 2301331003. The reversal of 2301330996 is 6990331032.

It is a happy number.

2301330996 is a `hidden beast` number, since 230 + 1 + 330 + 9 + 96 = 666.

It is a super-2 number, since 2×23013309962 = 10592248706300704032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2301330996.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 194671 + ... + 206153.

It is an arithmetic number, because the mean of its divisors is an integer number (85345260).

Almost surely, 22301330996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301330996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072429360).

2301330996 is an abundant number, since it is smaller than the sum of its proper divisors (3843527724).

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

2301330996 is a wasteful number, since it uses less digits than its factorization.

2301330996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 2301330996 is about 47972.1898186856. The cubic root of 2301330996 is about 1320.2606991974.

Adding to 2301330996 its sum of digits (36), we get a palindrome (2301331032).

The spelling of 2301330996 in words is "two billion, three hundred one million, three hundred thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 293 342 586 684 879 1172 1758 2637 3516 5274 5567 10548 11134 11483 16701 22268 22966 33402 34449 45932 50103 66804 68898 100206 103347 137796 200412 206694 218177 413388 436354 654531 872708 1309062 1963593 2618124 3364519 3927186 6729038 7854372 10093557 13458076 20187114 30280671 40374228 60561342 63925861 121122684 127851722 191777583 255703444 383555166 575332749 767110332 1150665498 2301330996