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34334768 = 2413237177
BaseRepresentation
bin1000001011111…
…0100000110000
32101121101110002
42002332200300
532242203033
63223525132
7564561236
oct202764060
971541402
1034334768
1118421246
12b5b97a8
137162040
1447ba956
1530333e8
hex20be830

34334768 has 40 divisors (see below), whose sum is σ = 74766048. Its totient is φ = 15155712.

The previous prime is 34334723. The next prime is 34334771. The reversal of 34334768 is 86743343.

It is a happy number.

It is a super-2 number, since 2×343347682 = 2357752587227648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196 + ... + 8372.

Almost surely, 234334768 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 34334768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37383024).

34334768 is an abundant number, since it is smaller than the sum of its proper divisors (40431280).

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

34334768 is a wasteful number, since it uses less digits than its factorization.

34334768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221 (or 7215 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 34334768 is about 5859.5876988061. The cubic root of 34334768 is about 325.0209627504.

The spelling of 34334768 in words is "thirty-four million, three hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 4784 7177 14354 28708 57416 93301 114832 165071 186602 330142 373204 660284 746408 1320568 1492816 2145923 2641136 4291846 8583692 17167384 34334768