Search a number
-
+
431412414 = 23411819689
BaseRepresentation
bin11001101101101…
…101010010111110
31010001210000120120
4121231231102332
51340420144124
6110450355410
713455642066
oct3155552276
91101700516
10431412414
11201580594
1210058bb66
136b4bc424
14414203a6
1527d1ad79
hex19b6d4be

431412414 has 32 divisors (see below), whose sum is σ = 888844320. Its totient is φ = 139507200.

The previous prime is 431412391. The next prime is 431412419. The reversal of 431412414 is 414214134.

It is a super-2 number, since 2×4314124142 = 372233341906614792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431412419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39682 + ... + 49370.

It is an arithmetic number, because the mean of its divisors is an integer number (27776385).

Almost surely, 2431412414 is an apocalyptic number.

431412414 is an abundant number, since it is smaller than the sum of its proper divisors (457431906).

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

431412414 is a wasteful number, since it uses less digits than its factorization.

431412414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916.

The product of its digits is 1536, while the sum is 24.

The square root of 431412414 is about 20770.4697587705. The cubic root of 431412414 is about 755.6097374047.

Adding to 431412414 its reverse (414214134), we get a palindrome (845626548).

The spelling of 431412414 in words is "four hundred thirty-one million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 41 82 123 181 246 362 543 1086 7421 9689 14842 19378 22263 29067 44526 58134 397249 794498 1191747 1753709 2383494 3507418 5261127 10522254 71902069 143804138 215706207 431412414