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34374329749 = 1711813171169
BaseRepresentation
bin100000000000110111…
…101010010110010101
310021201121100212201001
4200000313222112111
51030344312022444
623442533103301
72324553660544
oct400067522625
9107647325631
1034374329749
111363a45a791
1267b3a87b31
13331a70aab6
1419413a015b
15d62b918d4
hex800dea595

34374329749 has 8 divisors (see below), whose sum is σ = 36399642840. Its totient is φ = 32349382656.

The previous prime is 34374329723. The next prime is 34374329777. The reversal of 34374329749 is 94792347343.

It can be written as a sum of positive squares in 4 ways, for example, as 2268140625 + 32106189124 = 47625^2 + 179182^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34374329749 - 215 = 34374296981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34374329749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34374329779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115237 + ... + 286405.

It is an arithmetic number, because the mean of its divisors is an integer number (4549955355).

Almost surely, 234374329749 is an apocalyptic number.

It is an amenable number.

34374329749 is a deficient number, since it is larger than the sum of its proper divisors (2025313091).

34374329749 is a wasteful number, since it uses less digits than its factorization.

34374329749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182999.

The product of its digits is 13716864, while the sum is 55.

The spelling of 34374329749 in words is "thirty-four billion, three hundred seventy-four million, three hundred twenty-nine thousand, seven hundred forty-nine".

Divisors: 1 17 11813 171169 200821 2909873 2022019397 34374329749