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431324442 = 232177319309
BaseRepresentation
bin11001101101010…
…111110100011010
31010001121112220100
4121231113310122
51340404340232
6110444440230
713455124443
oct3155276432
91101545810
10431324442
1120152048a
12100549076
136b48b383
14413da2ca
1527ceec7c
hex19b57d1a

431324442 has 48 divisors (see below), whose sum is σ = 1003115880. Its totient is φ = 133456896.

The previous prime is 431324423. The next prime is 431324449. The reversal of 431324442 is 244423134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 361418121 + 69906321 = 19011^2 + 8361^2 .

It is a super-2 number, since 2×4313244422 = 372081548533222728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431324449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12684 + ... + 31992.

Almost surely, 2431324442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431324442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501557940).

431324442 is an abundant number, since it is smaller than the sum of its proper divisors (571791438).

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

431324442 is a wasteful number, since it uses less digits than its factorization.

431324442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19407 (or 19404 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 431324442 is about 20768.3519326884. The cubic root of 431324442 is about 755.5583735461.

Adding to 431324442 its reverse (244423134), we get a palindrome (675747576).

It can be divided in two parts, 43132 and 4442, that added together give a palindrome (47574).

The spelling of 431324442 in words is "four hundred thirty-one million, three hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 1241 1314 2482 3723 7446 11169 19309 22338 38618 57927 115854 173781 328253 347562 656506 984759 1409557 1969518 2819114 2954277 4228671 5908554 8457342 12686013 23962469 25372026 47924938 71887407 143774814 215662221 431324442