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29331368 = 23112157193
BaseRepresentation
bin110111111100…
…0111110101000
32001012012001222
41233320332220
530002100433
62524401212
7504212123
oct157707650
961165058
1029331368
1115614100
1299a6208
1360cc851
143c773ba
152895b98
hex1bf8fa8

29331368 has 48 divisors (see below), whose sum is σ = 61150740. Its totient is φ = 13178880.

The previous prime is 29331353. The next prime is 29331373. The reversal of 29331368 is 86313392.

It can be written as a sum of positive squares in 2 ways, for example, as 27646564 + 1684804 = 5258^2 + 1298^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151880 + ... + 152072.

Almost surely, 229331368 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 29331368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30575370).

29331368 is an abundant number, since it is smaller than the sum of its proper divisors (31819372).

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

29331368 is a wasteful number, since it uses less digits than its factorization.

29331368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 29331368 is about 5415.8441631938. The cubic root of 29331368 is about 308.3974460949.

The spelling of 29331368 in words is "twenty-nine million, three hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 157 193 242 314 386 484 628 772 968 1256 1544 1727 2123 3454 4246 6908 8492 13816 16984 18997 23353 30301 37994 46706 60602 75988 93412 121204 151976 186824 242408 333311 666622 1333244 2666488 3666421 7332842 14665684 29331368