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34000056 = 23323115233
BaseRepresentation
bin1000000110110…
…0110010111000
32100222101022100
42001230302320
532201000211
63212423400
7561665346
oct201546270
970871270
1034000056
1118212822
12b477b60
13707589c
144730996
152eb9156
hex206ccb8

34000056 has 48 divisors (see below), whose sum is σ = 95060160. Its totient is φ = 10967040.

The previous prime is 34000019. The next prime is 34000061. The reversal of 34000056 is 65000043.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5385 + ... + 9848.

It is an arithmetic number, because the mean of its divisors is an integer number (1980420).

Almost surely, 234000056 is an apocalyptic number.

34000056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34000056 is an abundant number, since it is smaller than the sum of its proper divisors (61060104).

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

34000056 is a wasteful number, since it uses less digits than its factorization.

34000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15276 (or 15269 counting only the distinct ones).

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

The square root of 34000056 is about 5830.9566968037. The cubic root of 34000056 is about 323.9613579887.

Adding to 34000056 its reverse (65000043), we get a palindrome (99000099).

The spelling of 34000056 in words is "thirty-four million, fifty-six", and thus it is an aban number and an eban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 15233 30466 45699 60932 91398 121864 137097 182796 274194 365592 472223 548388 944446 1096776 1416669 1888892 2833338 3777784 4250007 5666676 8500014 11333352 17000028 34000056