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2324957940 = 2232512916433
BaseRepresentation
bin1000101010010100…
…0000101011110100
320000000211002201100
42022211000223310
514230142123230
61022411530100
7111420550014
oct21245005364
96000732640
102324957940
11a93418348
1254a759930
132b08a3176
14180ac7c44
15d91a1660
hex8a940af4

2324957940 has 36 divisors (see below), whose sum is σ = 7052372964. Its totient is φ = 619988736.

The previous prime is 2324957923. The next prime is 2324957941. The reversal of 2324957940 is 497594232.

2324957940 is a `hidden beast` number, since 2 + 32 + 4 + 9 + 579 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 397045476 + 1927912464 = 19926^2 + 43908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324957941) 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 11 ways as a sum of consecutive naturals, for example, 6458037 + ... + 6458396.

It is an arithmetic number, because the mean of its divisors is an integer number (195899249).

Almost surely, 22324957940 is an apocalyptic number.

2324957940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2324957940 is an abundant number, since it is smaller than the sum of its proper divisors (4727415024).

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

2324957940 is a wasteful number, since it uses less digits than its factorization.

2324957940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916448 (or 12916443 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2324957940 is about 48217.8176611095. The cubic root of 2324957940 is about 1324.7635396240.

The spelling of 2324957940 in words is "two billion, three hundred twenty-four million, nine hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12916433 25832866 38749299 51665732 64582165 77498598 116247897 129164330 154997196 193746495 232495794 258328660 387492990 464991588 581239485 774985980 1162478970 2324957940