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242342640 = 24325336587
BaseRepresentation
bin11100111000111…
…01101011110000
3121220000021121100
432130131223300
5444014431030
640014124400
76001610211
oct1634355360
9556007540
10242342640
11114883681
12691b0700
133b291217
1424285408
1516420360
hexe71daf0

242342640 has 60 divisors (see below), whose sum is σ = 813869784. Its totient is φ = 64624512.

The previous prime is 242342621. The next prime is 242342641. The reversal of 242342640 is 46243242.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242342641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167574 + ... + 169013.

Almost surely, 2242342640 is an apocalyptic number.

242342640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242342640 is an abundant number, since it is smaller than the sum of its proper divisors (571527144).

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

242342640 is a wasteful number, since it uses less digits than its factorization.

242342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336606 (or 336597 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 242342640 is about 15567.3581573753. The cubic root of 242342640 is about 623.4619375538.

Adding to 242342640 its reverse (46243242), we get a palindrome (288585882).

The spelling of 242342640 in words is "two hundred forty-two million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 336587 673174 1009761 1346348 1682935 2019522 2692696 3029283 3365870 4039044 5048805 5385392 6058566 6731740 8078088 10097610 12117132 13463480 15146415 16156176 20195220 24234264 26926960 30292830 40390440 48468528 60585660 80780880 121171320 242342640