Search a number
-
+
34625112 = 23353163167
BaseRepresentation
bin1000010000010…
…1011001011000
32102011010201120
42010011121120
532331000422
63234045240
7600210564
oct204053130
972133646
1034625112
11185aa3a5
12b719820
137234242
1448546a4
15308e45c
hex2105658

34625112 has 64 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 11187072.

The previous prime is 34625089. The next prime is 34625113. The reversal of 34625112 is 21152643.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34625113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207253 + ... + 207419.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 234625112 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 34625112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

34625112 is an abundant number, since it is smaller than the sum of its proper divisors (54643368).

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

34625112 is a wasteful number, since it uses less digits than its factorization.

34625112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 34625112 is about 5884.3106648103. The cubic root of 34625112 is about 325.9345471868.

Adding to 34625112 its reverse (21152643), we get a palindrome (55777755).

The spelling of 34625112 in words is "thirty-four million, six hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 163 167 212 318 326 334 424 489 501 636 652 668 978 1002 1272 1304 1336 1956 2004 3912 4008 8639 8851 17278 17702 25917 26553 27221 34556 35404 51834 53106 54442 69112 70808 81663 103668 106212 108884 163326 207336 212424 217768 326652 653304 1442713 2885426 4328139 5770852 8656278 11541704 17312556 34625112