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2374239940 = 225532299781
BaseRepresentation
bin1000110110000100…
…0000011011000100
320010110112212220121
42031201000123010
514330301134230
61031332111324
7112556464222
oct21541003304
96113485817
102374239940
111009218676
12563165544
132bab69807
14187475b12
15dd68877a
hex8d8406c4

2374239940 has 48 divisors (see below), whose sum is σ = 5102682480. Its totient is φ = 927613440.

The previous prime is 2374239913. The next prime is 2374239971. The reversal of 2374239940 is 499324732.

It can be written as a sum of positive squares in 8 ways, for example, as 167495364 + 2206744576 = 12942^2 + 46976^2 .

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 15 ways as a sum of consecutive naturals, for example, 237850 + ... + 247630.

It is an arithmetic number, because the mean of its divisors is an integer number (106305885).

Almost surely, 22374239940 is an apocalyptic number.

2374239940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2374239940 is an abundant number, since it is smaller than the sum of its proper divisors (2728442540).

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

2374239940 is a wasteful number, since it uses less digits than its factorization.

2374239940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 2374239940 is about 48726.1730489888. The cubic root of 2374239940 is about 1334.0584831857.

The spelling of 2374239940 in words is "two billion, three hundred seventy-four million, two hundred thirty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 229 265 458 530 916 1060 1145 2290 4580 9781 12137 19562 24274 39124 48548 48905 60685 97810 121370 195620 242740 518393 1036786 2073572 2239849 2591965 4479698 5183930 8959396 10367860 11199245 22398490 44796980 118711997 237423994 474847988 593559985 1187119970 2374239940