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34344639 = 3272471657
BaseRepresentation
bin1000001100000…
…0111010111111
32101121212222200
42003000322333
532243012024
63224042543
7564632100
oct203007277
971555880
1034344639
11184286aa
12b603453
137166694
1447c03a7
1530362c9
hex20c0ebf

34344639 has 36 divisors (see below), whose sum is σ = 58971744. Its totient is φ = 19196352.

The previous prime is 34344631. The next prime is 34344677. The reversal of 34344639 is 93644343.

It is a happy number.

34344639 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34344639 - 23 = 34344631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19899 + ... + 21555.

It is an arithmetic number, because the mean of its divisors is an integer number (1638104).

Almost surely, 234344639 is an apocalyptic number.

34344639 is a deficient number, since it is larger than the sum of its proper divisors (24627105).

34344639 is a wasteful number, since it uses less digits than its factorization.

34344639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1714 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 34344639 is about 5860.4299330339. The cubic root of 34344639 is about 325.0521068327.

The spelling of 34344639 in words is "thirty-four million, three hundred forty-four thousand, six hundred thirty-nine".

Divisors: 1 3 7 9 21 47 49 63 141 147 329 423 441 987 1657 2303 2961 4971 6909 11599 14913 20727 34797 77879 81193 104391 233637 243579 545153 700911 730737 1635459 3816071 4906377 11448213 34344639