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400132434 = 231317301759
BaseRepresentation
bin10111110110011…
…000100101010010
31000212220211111210
4113312120211102
51304413214214
6103412120550
712626032602
oct2766304522
91025824453
10400132434
11195956469
12b2006156
1364b89970
143b1dac02
15251dcb59
hex17d98952

400132434 has 32 divisors (see below), whose sum is σ = 912522240. Its totient is φ = 115875072.

The previous prime is 400132429. The next prime is 400132463. The reversal of 400132434 is 434231004.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 400132434.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149554 + ... + 152205.

It is an arithmetic number, because the mean of its divisors is an integer number (28516320).

Almost surely, 2400132434 is an apocalyptic number.

400132434 is an abundant number, since it is smaller than the sum of its proper divisors (512389806).

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

400132434 is a wasteful number, since it uses less digits than its factorization.

400132434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301794.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 400132434 is about 20003.3105760022. The cubic root of 400132434 is about 736.8876059269.

Adding to 400132434 its reverse (434231004), we get a palindrome (834363438).

The spelling of 400132434 in words is "four hundred million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 301759 603518 905277 1810554 3922867 5129903 7845734 10259806 11768601 15389709 23537202 30779418 66688739 133377478 200066217 400132434