Search a number
-
+
2340613980 = 2232528514561
BaseRepresentation
bin1000101110000010…
…1110111101011100
320001010021111202200
42023200232331130
514243144121410
61024131251500
7112000614315
oct21340567534
96033244680
102340613980
11aa1240a21
12553a49b90
132b3bc52b3
14182c0160c
15da7453c0
hex8b82ef5c

2340613980 has 72 divisors (see below), whose sum is σ = 7103909904. Its totient is φ = 623808000.

The previous prime is 2340613973. The next prime is 2340613991. The reversal of 2340613980 is 893160432.

2340613980 is a `hidden beast` number, since 2 + 34 + 0 + 613 + 9 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510900 + ... + 515460.

Almost surely, 22340613980 is an apocalyptic number.

2340613980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340613980 is an abundant number, since it is smaller than the sum of its proper divisors (4763295924).

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

2340613980 is a wasteful number, since it uses less digits than its factorization.

2340613980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2340613980 is about 48379.8923107524. The cubic root of 2340613980 is about 1327.7304993050.

The spelling of 2340613980 in words is "two billion, three hundred forty million, six hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2851 4561 5702 8553 9122 11404 13683 14255 17106 18244 22805 25659 27366 28510 34212 41049 42765 45610 51318 54732 57020 68415 82098 85530 91220 102636 128295 136830 164196 171060 205245 256590 273660 410490 513180 820980 13003411 26006822 39010233 52013644 65017055 78020466 117030699 130034110 156040932 195051165 234061398 260068220 390102330 468122796 585153495 780204660 1170306990 2340613980