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400240232 = 23721815641
BaseRepresentation
bin10111110110110…
…010111001101000
31000220010022101022
4113312302321220
51304430141412
6103414312012
712626662100
oct2766627150
91026108338
10400240232
11195a1a457
12b2058608
1364bc6a52
143b228200
152520ea72
hex17db2e68

400240232 has 48 divisors (see below), whose sum is σ = 877951620. Its totient is φ = 170553600.

The previous prime is 400240219. The next prime is 400240249. The reversal of 400240232 is 232042004.

It can be written as a sum of positive squares in 2 ways, for example, as 400240036 + 196 = 20006^2 + 14^2 .

It is a super-2 number, since 2×4002402322 = 320384486622827648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400240232.

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 11 ways as a sum of consecutive naturals, for example, 68132 + ... + 73772.

Almost surely, 2400240232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400240232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438975810).

400240232 is an abundant number, since it is smaller than the sum of its proper divisors (477711388).

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

400240232 is a wasteful number, since it uses less digits than its factorization.

400240232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 400240232 is about 20006.0048985298. The cubic root of 400240232 is about 736.9537739178.

Adding to 400240232 its reverse (232042004), we get a palindrome (632282236).

The spelling of 400240232 in words is "four hundred million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 196 362 392 724 1267 1448 2534 5068 5641 8869 10136 11282 17738 22564 35476 39487 45128 70952 78974 157948 276409 315896 552818 1021021 1105636 2042042 2211272 4084084 7147147 8168168 14294294 28588588 50030029 57177176 100060058 200120116 400240232