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2329544944 = 242919925229
BaseRepresentation
bin1000101011011010…
…0000100011110000
320000100110010220101
42022312200203300
514232330414234
61023054122144
7111504543136
oct21266404360
96010403811
102329544944
11a95a70661
125501b0354
132b181ac7c
1418155d756
15d97aa814
hex8ada08f0

2329544944 has 40 divisors (see below), whose sum is σ = 4692780000. Its totient is φ = 1118912256.

The previous prime is 2329544927. The next prime is 2329544947. The reversal of 2329544944 is 4494459232.

It is a super-2 number, since 2×23295449442 = 10853559292231926272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2329544894 and 2329544903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329544947) 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 7 ways as a sum of consecutive naturals, for example, 79722 + ... + 104950.

It is an arithmetic number, because the mean of its divisors is an integer number (117319500).

Almost surely, 22329544944 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 2329544944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346390000).

2329544944 is an abundant number, since it is smaller than the sum of its proper divisors (2363235056).

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

2329544944 is a wasteful number, since it uses less digits than its factorization.

2329544944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25465 (or 25459 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The square root of 2329544944 is about 48265.3596692286. The cubic root of 2329544944 is about 1325.6341938991.

The spelling of 2329544944 in words is "two billion, three hundred twenty-nine million, five hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 199 232 398 464 796 1592 3184 5771 11542 23084 25229 46168 50458 92336 100916 201832 403664 731641 1463282 2926564 5020571 5853128 10041142 11706256 20082284 40164568 80329136 145596559 291193118 582386236 1164772472 2329544944