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34315056 = 243379433
BaseRepresentation
bin1000001011100…
…1101100110000
32101120101102000
42002321230300
532241040211
63223254000
7564446616
oct202715460
971511360
1034315056
1118408456
12b5aa300
137156089
1447b36b6
15302c656
hex20b9b30

34315056 has 40 divisors (see below), whose sum is σ = 98498160. Its totient is φ = 11438208.

The previous prime is 34315031. The next prime is 34315067. The reversal of 34315056 is 65051343.

34315056 = 10202 + 10212 + ... + 10512.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 39285 + ... + 40148.

It is an arithmetic number, because the mean of its divisors is an integer number (2462454).

Almost surely, 234315056 is an apocalyptic number.

34315056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34315056 is an abundant number, since it is smaller than the sum of its proper divisors (64183104).

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

34315056 is a wasteful number, since it uses less digits than its factorization.

34315056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79450 (or 79438 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 34315056 is about 5857.9054277105. The cubic root of 34315056 is about 324.9587513725.

Adding to 34315056 its reverse (65051343), we get a palindrome (99366399).

It can be divided in two parts, 343150 and 56, that added together give a triangular number (343206 = T828).

The spelling of 34315056 in words is "thirty-four million, three hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 79433 158866 238299 317732 476598 635464 714897 953196 1270928 1429794 1906392 2144691 2859588 3812784 4289382 5719176 8578764 11438352 17157528 34315056