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34374 = 2317337
BaseRepresentation
bin1000011001000110
31202011010
420121012
52044444
6423050
7202134
oct103106
952133
1034374
112390a
1217a86
1312852
14c754
15a2b9
hex8646

34374 has 16 divisors (see below), whose sum is σ = 73008. Its totient is φ = 10752.

The previous prime is 34369. The next prime is 34381. The reversal of 34374 is 47343.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 34374.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34374.

It is an unprimeable number.

34374 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (4563).

234374 is an apocalyptic number.

34374 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34374 is an abundant number, since it is smaller than the sum of its proper divisors (38634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36504).

34374 is a wasteful number, since it uses less digits than its factorization.

34374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its digits is 1008, while the sum is 21.

The square root of 34374 is about 185.4022653583. The cubic root of 34374 is about 32.5144708733.

The spelling of 34374 in words is "thirty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 17 34 51 102 337 674 1011 2022 5729 11458 17187 34374