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242630640 = 2435571783
BaseRepresentation
bin11100111011000…
…11111111110000
3121220112220200000
432131203333300
5444103140030
640024230000
76004216650
oct1635437760
9556486600
10242630640
11114a5aa9a
126930b300
133b362335
142431c360
151647a860
hexe763ff0

242630640 has 240 divisors, whose sum is σ = 966271488. Its totient is φ = 55427328.

The previous prime is 242630623. The next prime is 242630677. The reversal of 242630640 is 46036242.

242630640 is a `hidden beast` number, since 24 + 2 + 630 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 135189 + ... + 136971.

Almost surely, 2242630640 is an apocalyptic number.

242630640 is a gapful number since it is divisible by the number (20) 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 242630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483135744).

242630640 is an abundant number, since it is smaller than the sum of its proper divisors (723640848).

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

242630640 is a wasteful number, since it uses less digits than its factorization.

242630640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 242630640 is about 15576.6055352249. The cubic root of 242630640 is about 623.7088138449.

Adding to 242630640 its reverse (46036242), we get a palindrome (288666882).

The spelling of 242630640 in words is "two hundred forty-two million, six hundred thirty thousand, six hundred forty".