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242474736 = 24372103093
BaseRepresentation
bin11100111001111…
…01111011110000
3121220020222210210
432130331323300
5444033142421
640021024120
76003000300
oct1634757360
9556228723
10242474736
11114963949
1269255040
133b30939a
14242bb600
1516449576
hexe73def0

242474736 has 60 divisors (see below), whose sum is σ = 728668392. Its totient is φ = 69277824.

The previous prime is 242474731. The next prime is 242474737. The reversal of 242474736 is 637474242.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242474694 and 242474703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242474731) 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, 49195 + ... + 53898.

Almost surely, 2242474736 is an apocalyptic number.

It is an amenable number.

242474736 is an abundant number, since it is smaller than the sum of its proper divisors (486193656).

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

242474736 is a wasteful number, since it uses less digits than its factorization.

242474736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103118 (or 103105 counting only the distinct ones).

The product of its digits is 225792, while the sum is 39.

The square root of 242474736 is about 15571.6003031159. The cubic root of 242474736 is about 623.5751957474.

The spelling of 242474736 in words is "two hundred forty-two million, four hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 103093 206186 309279 412372 618558 721651 824744 1237116 1443302 1649488 2164953 2474232 2886604 4329906 4948464 5051557 5773208 8659812 10103114 11546416 15154671 17319624 20206228 30309342 34639248 40412456 60618684 80824912 121237368 242474736