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34998 = 2319307
BaseRepresentation
bin1000100010110110
31210000020
420202312
52104443
6430010
7204015
oct104266
953006
1034998
1124327
1218306
1312c12
14ca7c
15a583
hex88b6

34998 has 16 divisors (see below), whose sum is σ = 73920. Its totient is φ = 11016.

The previous prime is 34981. The next prime is 35023. The reversal of 34998 is 89943.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

34998 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

234998 is an apocalyptic number.

34998 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

34998 is an abundant number, since it is smaller than the sum of its proper divisors (38922).

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 (36960).

34998 is a wasteful number, since it uses less digits than its factorization.

34998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331.

The product of its digits is 7776, while the sum is 33.

The square root of 34998 is about 187.0775240375. The cubic root of 34998 is about 32.7100400298.

Subtracting 34998 from its reverse (89943), we obtain a palindrome (54945).

The spelling of 34998 in words is "thirty-four thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 19 38 57 114 307 614 921 1842 5833 11666 17499 34998