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242399304 = 2335747379
BaseRepresentation
bin11100111001010…
…11100001001000
3121220010011100000
432130223201020
5444023234204
640015243000
76002234340
oct1634534110
9556104300
10242399304
11114912204
1269219460
133b2b0c54
142429bd20
1516432039
hexe72b848

242399304 has 192 divisors, whose sum is σ = 796723200. Its totient is φ = 67604544.

The previous prime is 242399303. The next prime is 242399327. The reversal of 242399304 is 403993242.

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 (242399303) 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 47 ways as a sum of consecutive naturals, for example, 639387 + ... + 639765.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2242399304 is an apocalyptic number.

242399304 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 242399304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

242399304 is an abundant number, since it is smaller than the sum of its proper divisors (554323896).

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

242399304 is a wasteful number, since it uses less digits than its factorization.

242399304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 242399304 is about 15569.1780129845. The cubic root of 242399304 is about 623.5105259136.

The spelling of 242399304 in words is "two hundred forty-two million, three hundred ninety-nine thousand, three hundred four".