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34253712 = 2433372143
BaseRepresentation
bin1000001010101…
…0101110010000
32101110021021000
42002222232100
532232104322
63222102000
7564103023
oct202525620
971407230
1034253712
1118376359
12b57a900
13713418c
1447991ba
1530193ac
hex20aab90

34253712 has 80 divisors (see below), whose sum is σ = 101025280. Its totient is φ = 11104128.

The previous prime is 34253711. The next prime is 34253743. The reversal of 34253712 is 21735243.

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

It is not an unprimeable number, because it can be changed into a prime (34253711) 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, 14913 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (1262816).

Almost surely, 234253712 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 34253712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50512640).

34253712 is an abundant number, since it is smaller than the sum of its proper divisors (66771568).

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

34253712 is a wasteful number, since it uses less digits than its factorization.

34253712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2185 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 34253712 is about 5852.6670843300. The cubic root of 34253712 is about 324.7649961873.

Adding to 34253712 its reverse (21735243), we get a palindrome (55988955).

The spelling of 34253712 in words is "thirty-four million, two hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2143 2664 3996 4286 5328 6429 7992 8572 12858 15984 17144 19287 25716 34288 38574 51432 57861 77148 79291 102864 115722 154296 158582 231444 237873 308592 317164 462888 475746 634328 713619 925776 951492 1268656 1427238 1902984 2140857 2854476 3805968 4281714 5708952 8563428 11417904 17126856 34253712