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1640312010 = 232541444529
BaseRepresentation
bin110000111000101…
…0010110011001010
311020022112111001200
41201301102303022
511324404441020
6430433325030
755435264521
oct14161226312
94208474050
101640312010
11771a05767
12399406776
13201aab62c
14117bc94b8
1599013590
hex61c52cca

1640312010 has 48 divisors (see below), whose sum is σ = 4368840840. Its totient is φ = 426746880.

The previous prime is 1640311973. The next prime is 1640312027. The reversal of 1640312010 is 102130461.

It is a happy number.

1640312010 is a `hidden beast` number, since 1 + 640 + 3 + 1 + 20 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1361388609 + 278923401 = 36897^2 + 16701^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218575 + ... + 225954.

Almost surely, 21640312010 is an apocalyptic number.

1640312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1640312010 is an abundant number, since it is smaller than the sum of its proper divisors (2728528830).

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

1640312010 is a wasteful number, since it uses less digits than its factorization.

1640312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444583 (or 444580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1640312010 is about 40500.7655483202. The cubic root of 1640312010 is about 1179.3484888596.

Adding to 1640312010 its reverse (102130461), we get a palindrome (1742442471).

The spelling of 1640312010 in words is "one billion, six hundred forty million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 444529 889058 1333587 2222645 2667174 4000761 4445290 6667935 8001522 13335870 18225689 20003805 36451378 40007610 54677067 91128445 109354134 164031201 182256890 273385335 328062402 546770670 820156005 1640312010