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247304304 = 2432131719409
BaseRepresentation
bin11101011110110…
…01000001110000
3122020100100201200
432233121001300
51001302214204
640312331200
76062023542
oct1657310160
9566310650
10247304304
11117662425
126a9a3b00
133c30a710
1424bb7692
1516aa0539
hexebd9070

247304304 has 240 divisors, whose sum is σ = 832759200. Its totient is φ = 67682304.

The previous prime is 247304297. The next prime is 247304357. The reversal of 247304304 is 403403742.

247304304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2473043042 = 122318837553848832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604452 + ... + 604860.

It is an arithmetic number, because the mean of its divisors is an integer number (3469830).

Almost surely, 2247304304 is an apocalyptic number.

247304304 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 247304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416379600).

247304304 is an abundant number, since it is smaller than the sum of its proper divisors (585454896).

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

247304304 is a wasteful number, since it uses less digits than its factorization.

247304304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 247304304 is about 15725.9118654531. The cubic root of 247304304 is about 627.6880948058.

The spelling of 247304304 in words is "two hundred forty-seven million, three hundred four thousand, three hundred four".