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34103296 = 21323181
BaseRepresentation
bin1000001000011…
…0000000000000
32101011121221001
42002012000000
532212301141
63214541344
7562605343
oct202060000
971147831
1034103296
1118283347
12b507854
1370b0886
14475a45a
152ed9a31
hex2086000

34103296 has 56 divisors (see below), whose sum is σ = 71560944. Its totient is φ = 16220160.

The previous prime is 34103291. The next prime is 34103351. The reversal of 34103296 is 69230143.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188326 + ... + 188506.

It is an arithmetic number, because the mean of its divisors is an integer number (1277874).

Almost surely, 234103296 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 34103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35780472).

34103296 is an abundant number, since it is smaller than the sum of its proper divisors (37457648).

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

34103296 is an equidigital number, since it uses as much as digits as its factorization.

34103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 34103296 is about 5839.8027363944. The cubic root of 34103296 is about 324.2889258343.

The spelling of 34103296 in words is "thirty-four million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 181 184 256 362 368 512 724 736 1024 1448 1472 2048 2896 2944 4096 4163 5792 5888 8192 8326 11584 11776 16652 23168 23552 33304 46336 47104 66608 92672 94208 133216 185344 188416 266432 370688 532864 741376 1065728 1482752 2131456 4262912 8525824 17051648 34103296