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2040718338 = 2324143107601
BaseRepresentation
bin111100110100010…
…1110010000000010
312021012222020021200
41321220232100002
513134410441323
6534255402030
7101366551101
oct17150562002
95235866250
102040718338
11957a2898a
1248b523316
13266a32b59
14155058038
15be257443
hex79a2e402

2040718338 has 96 divisors (see below), whose sum is σ = 4685833152. Its totient is φ = 641088000.

The previous prime is 2040718331. The next prime is 2040718357. The reversal of 2040718338 is 8338170402.

It is a super-3 number, since 3×20407183383 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2040718331) 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 47 ways as a sum of consecutive naturals, for example, 3395238 + ... + 3395838.

It is an arithmetic number, because the mean of its divisors is an integer number (48810762).

Almost surely, 22040718338 is an apocalyptic number.

2040718338 is an abundant number, since it is smaller than the sum of its proper divisors (2645114814).

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

2040718338 is a wasteful number, since it uses less digits than its factorization.

2040718338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2040718338 is about 45174.3105979494. The cubic root of 2040718338 is about 1268.4139868502.

The spelling of 2040718338 in words is "two billion, forty million, seven hundred eighteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 41 43 82 86 107 123 129 214 246 258 321 369 387 601 642 738 774 963 1202 1763 1803 1926 3526 3606 4387 4601 5289 5409 8774 9202 10578 10818 13161 13803 15867 24641 25843 26322 27606 31734 39483 41409 49282 51686 64307 73923 77529 78966 82818 128614 147846 155058 188641 192921 221769 232587 377282 385842 443538 465174 565923 578763 1059563 1131846 1157526 1697769 2119126 2636587 2765201 3178689 3395538 5273174 5530402 6357378 7909761 8295603 9536067 15819522 16591206 19072134 23729283 24886809 47458566 49773618 113373241 226746482 340119723 680239446 1020359169 2040718338