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242880768 = 2834131753
BaseRepresentation
bin11100111101000…
…01000100000000
3121221000121210000
432132201010000
5444134141033
640033440000
76006311124
oct1636410400
9557017700
10242880768
11115110a09
1269410000
133b41c140
1424385584
15164c9a13
hexe7a1100

242880768 has 360 divisors, whose sum is σ = 841396248. Its totient is φ = 69009408.

The previous prime is 242880739. The next prime is 242880773. The reversal of 242880768 is 867088242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47775744 + 195105024 = 6912^2 + 13968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4582630 + ... + 4582682.

Almost surely, 2242880768 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 242880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420698124).

242880768 is an abundant number, since it is smaller than the sum of its proper divisors (598515480).

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

242880768 is a wasteful number, since it uses less digits than its factorization.

242880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 242880768 is about 15584.6324306992. The cubic root of 242880768 is about 623.9230674385.

The spelling of 242880768 in words is "two hundred forty-two million, eight hundred eighty thousand, seven hundred sixty-eight".