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1642233340 = 225118983873
BaseRepresentation
bin110000111100010…
…0111110111111100
311020110011002122001
41201320213313330
511330402431330
6430542432044
755460516206
oct14170476774
94213132561
101642233340
11772aa8240
12399b92624
13202302007
14118169776
15992929ca
hex61e27dfc

1642233340 has 48 divisors (see below), whose sum is σ = 3804524640. Its totient is φ = 590458880.

The previous prime is 1642233287. The next prime is 1642233347. The reversal of 1642233340 is 433322461.

It is a junction number, because it is equal to n+sod(n) for n = 1642233299 and 1642233308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642233347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22357 + ... + 61516.

It is an arithmetic number, because the mean of its divisors is an integer number (79260930).

Almost surely, 21642233340 is an apocalyptic number.

1642233340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1642233340 is an abundant number, since it is smaller than the sum of its proper divisors (2162291300).

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

1642233340 is a wasteful number, since it uses less digits than its factorization.

1642233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83982 (or 83980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 1642233340 is about 40524.4782816510. The cubic root of 1642233340 is about 1179.8087739535.

The spelling of 1642233340 in words is "one billion, six hundred forty-two million, two hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 19580 83873 167746 335492 419365 838730 922603 1677460 1845206 3690412 4613015 7464697 9226030 14929394 18452060 29858788 37323485 74646970 82111667 149293940 164223334 328446668 410558335 821116670 1642233340