Search a number
-
+
440431424 = 2637185993
BaseRepresentation
bin11010010000000…
…111001101000000
31010200202020022222
4122100013031000
51400222301144
6111411550212
713625414426
oct3220071500
91120666288
10440431424
11206680714
121035bb368
1370329614
14426cb116
15289ed2ee
hex1a407340

440431424 has 28 divisors (see below), whose sum is σ = 897607044. Its totient is φ = 214262784.

The previous prime is 440431423. The next prime is 440431429. The reversal of 440431424 is 424134044.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 404814400 + 35617024 = 20120^2 + 5968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440431393 and 440431402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440431423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90629 + ... + 95364.

Almost surely, 2440431424 is an apocalyptic number.

It is an amenable number.

440431424 is an abundant number, since it is smaller than the sum of its proper divisors (457175620).

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

440431424 is a wasteful number, since it uses less digits than its factorization.

440431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186042 (or 186032 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 440431424 is about 20986.4581099337. The cubic root of 440431424 is about 760.8389995794.

Adding to 440431424 its reverse (424134044), we get a palindrome (864565468).

The spelling of 440431424 in words is "four hundred forty million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 185993 371986 743972 1487944 2975888 5951776 6881741 11903552 13763482 27526964 55053928 110107856 220215712 440431424