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34914 = 2311232
BaseRepresentation
bin1000100001100010
31202220010
420201202
52104124
6425350
7203535
oct104142
952803
1034914
1124260
1218256
1312b79
14ca1c
15a529
hex8862

34914 has 24 divisors (see below), whose sum is σ = 79632. Its totient is φ = 10120.

The previous prime is 34913. The next prime is 34919. The reversal of 34914 is 41943.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34914.

It is not an unprimeable number, because it can be changed into a prime (34913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1507 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (3318).

234914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816).

34914 is an abundant number, since it is smaller than the sum of its proper divisors (44718).

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

34914 is a wasteful number, since it uses less digits than its factorization.

34914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 34914 is about 186.8528833066. The cubic root of 34914 is about 32.6838495376.

It can be divided in two parts, 349 and 14, that added together give a palindrome (363).

The spelling of 34914 in words is "thirty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 1058 1518 1587 3174 5819 11638 17457 34914