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34240 = 265107
BaseRepresentation
bin1000010111000000
31201222011
420113000
52043430
6422304
7201553
oct102700
951864
1034240
11237a8
1217994
131277b
14c69a
15a22a
hex85c0

34240 has 28 divisors (see below), whose sum is σ = 82296. Its totient is φ = 13568.

The previous prime is 34231. The next prime is 34253. The reversal of 34240 is 4243.

34240 is nontrivially palindromic in base 15.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 34240.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 267 + ... + 373.

234240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41148).

34240 is an abundant number, since it is smaller than the sum of its proper divisors (48056).

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

34240 is a wasteful number, since it uses less digits than its factorization.

34240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34240 is about 185.0405360995. The cubic root of 34240 is about 32.4721655172.

Adding to 34240 its reverse (4243), we get a palindrome (38483).

It can be divided in two parts, 3 and 4240, that multiplied together give a triangular number (12720 = T159).

The spelling of 34240 in words is "thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 17120 34240