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29068344 = 23324143229
BaseRepresentation
bin110111011100…
…0110000111000
32000200211021100
41232320300320
524420141334
62515011400
7502035234
oct156706070
960624240
1029068344
1115454528
129899b60
136039c06
143c095c4
152842c99
hex1bb8c38

29068344 has 96 divisors (see below), whose sum is σ = 82882800. Its totient is φ = 9192960.

The previous prime is 29068339. The next prime is 29068439. The reversal of 29068344 is 44386092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29068299 and 29068308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126822 + ... + 127050.

Almost surely, 229068344 is an apocalyptic number.

29068344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29068344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41441400).

29068344 is an abundant number, since it is smaller than the sum of its proper divisors (53814456).

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

29068344 is a wasteful number, since it uses less digits than its factorization.

29068344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 29068344 is about 5391.5066539883. The cubic root of 29068344 is about 307.4728431302.

The spelling of 29068344 in words is "twenty-nine million, sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 43 72 82 86 123 129 164 172 229 246 258 328 344 369 387 458 492 516 687 738 774 916 984 1032 1374 1476 1548 1763 1832 2061 2748 2952 3096 3526 4122 5289 5496 7052 8244 9389 9847 10578 14104 15867 16488 18778 19694 21156 28167 29541 31734 37556 39388 42312 56334 59082 63468 75112 78776 84501 88623 112668 118164 126936 169002 177246 225336 236328 338004 354492 403727 676008 708984 807454 1211181 1614908 2422362 3229816 3633543 4844724 7267086 9689448 14534172 29068344