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34080368 = 247973137
BaseRepresentation
bin1000001000000…
…0011001110000
32101010110110212
42002000121300
532211032433
63214243252
7562451450
oct202003160
971113425
1034080368
11182680a3
12b4b6528
1370a32ca
144751d60
152ed2d48
hex2080670

34080368 has 40 divisors (see below), whose sum is σ = 76265952. Its totient is φ = 14450688.

The previous prime is 34080349. The next prime is 34080373. The reversal of 34080368 is 86308043.

It is a super-2 number, since 2×340803682 = 2322942966030848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9296 + ... + 12432.

Almost surely, 234080368 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 34080368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132976).

34080368 is an abundant number, since it is smaller than the sum of its proper divisors (42185584).

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

34080368 is a wasteful number, since it uses less digits than its factorization.

34080368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 34080368 is about 5837.8393263261. The cubic root of 34080368 is about 324.2162352710.

It can be divided in two parts, 340 and 80368, that added together give a palindrome (80708).

The spelling of 34080368 in words is "thirty-four million, eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 3137 5432 6274 10864 12548 21959 25096 43918 50192 87836 175672 304289 351344 608578 1217156 2130023 2434312 4260046 4868624 8520092 17040184 34080368