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34120332 = 2233973257
BaseRepresentation
bin1000001000101…
…0001010001100
32101012111022000
42002022022030
532213322312
63215152300
7563006121
oct202121214
971174260
1034120332
1118295124
12b515690
1370b855c
144762748
152edeadc
hex208a28c

34120332 has 48 divisors (see below), whose sum is σ = 89399520. Its totient is φ = 11252736.

The previous prime is 34120319. The next prime is 34120351. The reversal of 34120332 is 23302143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8848 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (1862490).

Almost surely, 234120332 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 34120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44699760).

34120332 is an abundant number, since it is smaller than the sum of its proper divisors (55279188).

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

34120332 is a wasteful number, since it uses less digits than its factorization.

34120332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34120332 is about 5841.2611651937. The cubic root of 34120332 is about 324.3429154005.

Adding to 34120332 its reverse (23302143), we get a palindrome (57422475).

The spelling of 34120332 in words is "thirty-four million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3257 3492 5238 6514 9771 10476 13028 19542 29313 39084 58626 87939 117252 175878 315929 351756 631858 947787 1263716 1895574 2843361 3791148 5686722 8530083 11373444 17060166 34120332