Search a number
-
+
400506340 = 225132118493
BaseRepresentation
bin10111110111110…
…011110111100100
31000220121211102011
4113313303313210
51310012200330
6103424124004
712632150653
oct2767636744
91026554364
10400506340
11196091383
12b2166604
1364c8ac00
143b29719a
152526382a
hex17df3de4

400506340 has 36 divisors (see below), whose sum is σ = 910744884. Its totient is φ = 147878016.

The previous prime is 400506331. The next prime is 400506361. The reversal of 400506340 is 43605004.

It can be written as a sum of positive squares in 6 ways, for example, as 166048996 + 234457344 = 12886^2 + 15312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55867 + ... + 62626.

It is an arithmetic number, because the mean of its divisors is an integer number (25298469).

Almost surely, 2400506340 is an apocalyptic number.

It is an amenable number.

400506340 is an abundant number, since it is smaller than the sum of its proper divisors (510238544).

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

400506340 is a wasteful number, since it uses less digits than its factorization.

400506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118528 (or 118513 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 400506340 is about 20012.6544965929. The cubic root of 400506340 is about 737.1170640561.

The spelling of 400506340 in words is "four hundred million, five hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 118493 236986 473972 592465 1184930 1540409 2369860 3080818 6161636 7702045 15404090 20025317 30808180 40050634 80101268 100126585 200253170 400506340