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34338808 = 2372251349
BaseRepresentation
bin1000001011111…
…1011111111000
32101121120222201
42002333133320
532242320213
63223555544
7564606100
oct202773770
971546881
1034338808
1118424289
12b5bbbb4
137163b2a
1447bc200
1530346dd
hex20bf7f8

34338808 has 48 divisors (see below), whose sum is σ = 75411000. Its totient is φ = 14616000.

The previous prime is 34338763. The next prime is 34338809. The reversal of 34338808 is 80883343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34338809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98218 + ... + 98566.

Almost surely, 234338808 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 34338808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37705500).

34338808 is an abundant number, since it is smaller than the sum of its proper divisors (41072192).

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

34338808 is a wasteful number, since it uses less digits than its factorization.

34338808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 34338808 is about 5859.9324228185. The cubic root of 34338808 is about 325.0337101128.

The spelling of 34338808 in words is "thirty-four million, three hundred thirty-eight thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 251 349 392 502 698 1004 1396 1757 2008 2443 2792 3514 4886 7028 9772 12299 14056 17101 19544 24598 34202 49196 68404 87599 98392 136808 175198 350396 613193 700792 1226386 2452772 4292351 4905544 8584702 17169404 34338808