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34248132 = 223217107523
BaseRepresentation
bin1000001010100…
…1010111000100
32101102222121100
42002221113010
532231420012
63222020100
7564050532
oct202512704
971388540
1034248132
1118372146
12b577630
137131789
144797152
1530178dc
hex20a95c4

34248132 has 72 divisors (see below), whose sum is σ = 92697696. Its totient is φ = 10623744.

The previous prime is 34248113. The next prime is 34248133. The reversal of 34248132 is 23184243.

It is a junction number, because it is equal to n+sod(n) for n = 34248096 and 34248105.

It is not an unprimeable number, because it can be changed into a prime (34248133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65223 + ... + 65745.

It is an arithmetic number, because the mean of its divisors is an integer number (1287468).

Almost surely, 234248132 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 34248132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46348848).

34248132 is an abundant number, since it is smaller than the sum of its proper divisors (58449564).

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

34248132 is a wasteful number, since it uses less digits than its factorization.

34248132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 34248132 is about 5852.1903591732. The cubic root of 34248132 is about 324.7473602681.

The spelling of 34248132 in words is "thirty-four million, two hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 204 214 306 321 428 523 612 642 963 1046 1284 1569 1819 1926 2092 3138 3638 3852 4707 5457 6276 7276 8891 9414 10914 16371 17782 18828 21828 26673 32742 35564 53346 55961 65484 80019 106692 111922 160038 167883 223844 320076 335766 503649 671532 951337 1007298 1902674 2014596 2854011 3805348 5708022 8562033 11416044 17124066 34248132