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242384292 = 223319414367
BaseRepresentation
bin11100111001001…
…11110110100100
3121220002101202000
432130213312210
5444022244132
640015045300
76002142513
oct1634476644
9556071660
10242384292
111149019a7
1269210830
133b2a7177
142429667a
151642c87c
hexe727da4

242384292 has 192 divisors, whose sum is σ = 703718400. Its totient is φ = 71850240.

The previous prime is 242384287. The next prime is 242384321. The reversal of 242384292 is 292483242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3617643 + ... + 3617709.

It is an arithmetic number, because the mean of its divisors is an integer number (3665200).

Almost surely, 2242384292 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 242384292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351859200).

242384292 is an abundant number, since it is smaller than the sum of its proper divisors (461334108).

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

242384292 is a wasteful number, since it uses less digits than its factorization.

242384292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 242384292 is about 15568.6958991433. The cubic root of 242384292 is about 623.4976541312.

The spelling of 242384292 in words is "two hundred forty-two million, three hundred eighty-four thousand, two hundred ninety-two".