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34314112 = 27725471
BaseRepresentation
bin1000001011100…
…1011110000000
32101120100010001
42002321132000
532241022422
63223245344
7564444100
oct202713600
971510101
1034314112
1118407778
12b5a9854
137155811
1447b3200
15302c227
hex20b9780

34314112 has 48 divisors (see below), whose sum is σ = 79535520. Its totient is φ = 14703360.

The previous prime is 34314107. The next prime is 34314113. The reversal of 34314112 is 21141343.

It is a self number, because there is not a number n which added to its sum of digits gives 34314112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3537 + ... + 9007.

It is an arithmetic number, because the mean of its divisors is an integer number (1656990).

Almost surely, 234314112 is an apocalyptic number.

34314112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39767760).

34314112 is an abundant number, since it is smaller than the sum of its proper divisors (45221408).

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

34314112 is an equidigital number, since it uses as much as digits as its factorization.

34314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5480 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 34314112 is about 5857.8248522809. The cubic root of 34314112 is about 324.9557714961.

Adding to 34314112 its reverse (21141343), we get a palindrome (55455455).

The spelling of 34314112 in words is "thirty-four million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 5471 6272 10942 21884 38297 43768 76594 87536 153188 175072 268079 306376 350144 536158 612752 700288 1072316 1225504 2144632 2451008 4289264 4902016 8578528 17157056 34314112