Search a number
-
+
400342404 = 223711433271
BaseRepresentation
bin10111110111001…
…011110110000100
31000220022111112110
4113313023312010
51304441424104
6103420421020
712630566010
oct2767136604
91026274473
10400342404
11195a8a1a0
12b20a7770
1364c313c7
143b253540
152522ee89
hex17dcbd84

400342404 has 48 divisors (see below), whose sum is σ = 1164635136. Its totient is φ = 103984800.

The previous prime is 400342399. The next prime is 400342433. The reversal of 400342404 is 404243004.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 215712 + ... + 217559.

It is an arithmetic number, because the mean of its divisors is an integer number (24263232).

Almost surely, 2400342404 is an apocalyptic number.

400342404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400342404 is an abundant number, since it is smaller than the sum of its proper divisors (764292732).

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

400342404 is a wasteful number, since it uses less digits than its factorization.

400342404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433296 (or 433294 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 400342404 is about 20008.5582689008. The cubic root of 400342404 is about 737.0164776216.

Adding to 400342404 its reverse (404243004), we get a palindrome (804585408).

The spelling of 400342404 in words is "four hundred million, three hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 433271 866542 1299813 1733084 2599626 3032897 4765981 5199252 6065794 9098691 9531962 12131588 14297943 18197382 19063924 28595886 33361867 36394764 57191772 66723734 100085601 133447468 200171202 400342404