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34768431 = 323899931
BaseRepresentation
bin1000010010100…
…0011000101111
32102102102022200
42010220120233
532400042211
63241112543
7601345455
oct204503057
972372280
1034768431
1118698045
12b788753
137284549
1448909d5
1530bbb56
hex212862f

34768431 has 12 divisors (see below), whose sum is σ = 50355240. Its totient is φ = 23117040.

The previous prime is 34768429. The next prime is 34768439. The reversal of 34768431 is 13486743.

It is not a de Polignac number, because 34768431 - 21 = 34768429 is a prime.

It is a super-2 number, since 2×347684312 = 2417687588403522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465 + ... + 8466.

It is an arithmetic number, because the mean of its divisors is an integer number (4196270).

Almost surely, 234768431 is an apocalyptic number.

34768431 is a deficient number, since it is larger than the sum of its proper divisors (15586809).

34768431 is a wasteful number, since it uses less digits than its factorization.

34768431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10323 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34768431 is about 5896.4761510584. The cubic root of 34768431 is about 326.3836269451.

The spelling of 34768431 in words is "thirty-four million, seven hundred sixty-eight thousand, four hundred thirty-one".

Divisors: 1 3 9 389 1167 3501 9931 29793 89379 3863159 11589477 34768431