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2321049744 = 2432131239877
BaseRepresentation
bin1000101001011000…
…0110100010010000
312222202110112200100
42022112012202100
514223142042434
61022152052400
7111342411606
oct21226064220
95882415610
102321049744
11a91199032
12549394100
132acb35320
1418038b876
15d8b7d699
hex8a586890

2321049744 has 60 divisors (see below), whose sum is σ = 6995391676. Its totient is φ = 714168576.

The previous prime is 2321049733. The next prime is 2321049751. The reversal of 2321049744 is 4479401232.

It can be written as a sum of positive squares in 2 ways, for example, as 1348358400 + 972691344 = 36720^2 + 31188^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2321049699 and 2321049708.

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 11 ways as a sum of consecutive naturals, for example, 618067 + ... + 621810.

Almost surely, 22321049744 is an apocalyptic number.

2321049744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2321049744 is an abundant number, since it is smaller than the sum of its proper divisors (4674341932).

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

2321049744 is a wasteful number, since it uses less digits than its factorization.

2321049744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239904 (or 1239895 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2321049744 is about 48177.2741445591. The cubic root of 2321049744 is about 1324.0208252095.

The spelling of 2321049744 in words is "two billion, three hundred twenty-one million, forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1239877 2479754 3719631 4959508 7439262 9919016 11158893 14878524 16118401 19838032 22317786 29757048 32236802 44635572 48355203 59514096 64473604 89271144 96710406 128947208 145065609 178542288 193420812 257894416 290131218 386841624 580262436 773683248 1160524872 2321049744