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247394304 = 212332237
BaseRepresentation
bin11101011111011…
…11000000000000
3122020111221012000
432233233000000
51001313104204
640314304000
76062550123
oct1657570000
9566457160
10247394304
11117714003
126aa28000
133c33c681
1424bdc3ba
1516abc039
hexebef000

247394304 has 104 divisors (see below), whose sum is σ = 733258320. Its totient is φ = 82427904.

The previous prime is 247394297. The next prime is 247394309. The reversal of 247394304 is 403493742.

247394304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2473943042 = 122407883303288832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247394309) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109474 + ... + 111710.

Almost surely, 2247394304 is an apocalyptic number.

247394304 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 247394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366629160).

247394304 is an abundant number, since it is smaller than the sum of its proper divisors (485864016).

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

247394304 is an equidigital number, since it uses as much as digits as its factorization.

247394304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 247394304 is about 15728.7731244366. The cubic root of 247394304 is about 627.7642291823.

The spelling of 247394304 in words is "two hundred forty-seven million, three hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2237 2304 3072 3456 4096 4474 4608 6144 6711 6912 8948 9216 12288 13422 13824 17896 18432 20133 26844 27648 35792 36864 40266 53688 55296 60399 71584 80532 107376 110592 120798 143168 161064 214752 241596 286336 322128 429504 483192 572672 644256 859008 966384 1145344 1288512 1718016 1932768 2290688 2577024 3436032 3865536 4581376 5154048 6872064 7731072 9162752 10308096 13744128 15462144 20616192 27488256 30924288 41232384 61848576 82464768 123697152 247394304