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34320434031 = 32131432120483
BaseRepresentation
bin11111111101101010…
…000100001101101111
310021120211221200200100
4133331222010031233
51030242012342111
623433330002143
72323330606302
oct377552041557
9107524850610
1034320434031
1113611a99074
126799a16353
13330c4ba440
141938170b39
15d5d097756
hex7fda8436f

34320434031 has 24 divisors (see below), whose sum is σ = 53393676336. Its totient is φ = 21117761280.

The previous prime is 34320434017. The next prime is 34320434033. The reversal of 34320434031 is 13043402343.

It is not a de Polignac number, because 34320434031 - 25 = 34320433999 is a prime.

It is a super-2 number, since 2×343204340312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34320433986 and 34320434004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320434033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1665316 + ... + 1685798.

It is an arithmetic number, because the mean of its divisors is an integer number (2224736514).

Almost surely, 234320434031 is an apocalyptic number.

34320434031 is a deficient number, since it is larger than the sum of its proper divisors (19073242305).

34320434031 is a wasteful number, since it uses less digits than its factorization.

34320434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34823 (or 34820 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34320434031 its reverse (13043402343), we get a palindrome (47363836374).

The spelling of 34320434031 in words is "thirty-four billion, three hundred twenty million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 9 13 39 117 14321 20483 42963 61449 128889 184347 186173 266279 558519 798837 1675557 2396511 293337043 880011129 2640033387 3813381559 11440144677 34320434031