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34102431 = 3311199577
BaseRepresentation
bin1000001000010…
…1110010011111
32101011120202000
42002011302133
532212234211
63214533343
7562602666
oct202056237
971146660
1034102431
1118282730
12b507253
1370b036c
144759ddd
152ed9656
hex2085c9f

34102431 has 32 divisors (see below), whose sum is σ = 55488000. Its totient is φ = 20528640.

The previous prime is 34102427. The next prime is 34102433. The reversal of 34102431 is 13420143.

It is not a de Polignac number, because 34102431 - 22 = 34102427 is a prime.

It is a super-2 number, since 2×341024312 = 2325951600219522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58815 + ... + 59391.

It is an arithmetic number, because the mean of its divisors is an integer number (1734000).

Almost surely, 234102431 is an apocalyptic number.

34102431 is a deficient number, since it is larger than the sum of its proper divisors (21385569).

34102431 is a wasteful number, since it uses less digits than its factorization.

34102431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34102431 is about 5839.7286752040. The cubic root of 34102431 is about 324.2861840436.

Adding to 34102431 its reverse (13420143), we get a palindrome (47522574).

The spelling of 34102431 in words is "thirty-four million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 199 297 577 597 1731 1791 2189 5193 5373 6347 6567 15579 19041 19701 57123 59103 114823 171369 344469 1033407 1263053 3100221 3789159 11367477 34102431