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434315031 = 31718314651
BaseRepresentation
bin11001111000110…
…001111100010111
31010021020111012220
4121320301330113
51342141040111
6111032513423
713522421403
oct3170617427
91107214186
10434315031
11203183347
1210154b873
136bc97657
1441978103
15281e0e06
hex19e31f17

434315031 has 16 divisors (see below), whose sum is σ = 613617408. Its totient is φ = 272304000.

The previous prime is 434315027. The next prime is 434315087. The reversal of 434315031 is 130513434.

It is a happy number.

It is not a de Polignac number, because 434315031 - 22 = 434315027 is a prime.

It is a super-2 number, since 2×4343150312 = 377259092305061922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434314992 and 434315010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434315131) 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 15 ways as a sum of consecutive naturals, for example, 91056 + ... + 95706.

It is an arithmetic number, because the mean of its divisors is an integer number (38351088).

Almost surely, 2434315031 is an apocalyptic number.

434315031 is a deficient number, since it is larger than the sum of its proper divisors (179302377).

434315031 is a wasteful number, since it uses less digits than its factorization.

434315031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 434315031 is about 20840.2262703647. The cubic root of 434315031 is about 757.3005751099.

Adding to 434315031 its reverse (130513434), we get a palindrome (564828465).

The spelling of 434315031 in words is "four hundred thirty-four million, three hundred fifteen thousand, thirty-one".

Divisors: 1 3 17 51 1831 4651 5493 13953 31127 79067 93381 237201 8515981 25547943 144771677 434315031