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29724304 = 24292472
BaseRepresentation
bin111000101100…
…0111010010000
32001221011002011
41301120322100
530102134204
62541032304
7510436531
oct161307220
961834064
1029724304
1115862345
129b55694
13620965c
143d3a688
152922304
hex1c58e90

29724304 has 45 divisors (see below), whose sum is σ = 60941257. Its totient is φ = 14044352.

The previous prime is 29724301. The next prime is 29724307. The reversal of 29724304 is 40342792.

The square root of 29724304 is 5452.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (29724301) and next prime (29724307).

It can be written as a sum of positive squares in only one way, i.e., 15586704 + 14137600 = 3948^2 + 3760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29724301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 632409 + ... + 632455.

Almost surely, 229724304 is an apocalyptic number.

29724304 is the 5452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29724304

29724304 is an abundant number, since it is smaller than the sum of its proper divisors (31216953).

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

29724304 is an equidigital number, since it uses as much as digits as its factorization.

29724304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The cubic root of 29724304 is about 309.7684847904.

The spelling of 29724304 in words is "twenty-nine million, seven hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 841 1363 1682 2209 2726 3364 4418 5452 6728 8836 10904 13456 17672 21808 35344 39527 64061 79054 128122 158108 256244 316216 512488 632432 1024976 1857769 3715538 7431076 14862152 29724304