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34056 = 23321143
BaseRepresentation
bin1000010100001000
31201201100
420110020
52042211
6421400
7201201
oct102410
951640
1034056
1123650
1217860
1312669
14c5a8
15a156
hex8508

34056 has 48 divisors (see below), whose sum is σ = 102960. Its totient is φ = 10080.

The previous prime is 34039. The next prime is 34057. The reversal of 34056 is 65043.

Adding to 34056 its reverse (65043), we get a palindrome (99099).

It is a happy number.

It is a super-2 number, since 2×340562 = 2319622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (34057) by changing a digit.

34056 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 11 ways as a sum of consecutive naturals, for example, 771 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (2145).

234056 is an apocalyptic number.

34056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34056 is the 99-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480).

34056 is an abundant number, since it is smaller than the sum of its proper divisors (68904).

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

34056 is a wasteful number, since it uses less digits than its factorization.

34056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34056 is about 184.5426779908. The cubic root of 34056 is about 32.4138943608.

The spelling of 34056 in words is "thirty-four thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056