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242440304 = 24196711903
BaseRepresentation
bin11100111001101…
…01100001110000
3121220012020120112
432130311201300
5444031042204
640020200452
76002465021
oct1634654160
9556166515
10242440304
1111493aa97
1269239128
133b2c6802
14242acc48
151643e26e
hexe735870

242440304 has 40 divisors (see below), whose sum is σ = 501872640. Its totient is φ = 113116608.

The previous prime is 242440301. The next prime is 242440343. The reversal of 242440304 is 403044242.

242440304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2424403042 = 117554602007224832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242440304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242440301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14417 + ... + 26319.

It is an arithmetic number, because the mean of its divisors is an integer number (12546816).

Almost surely, 2242440304 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 242440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250936320).

242440304 is an abundant number, since it is smaller than the sum of its proper divisors (259432336).

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

242440304 is a wasteful number, since it uses less digits than its factorization.

242440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 242440304 is about 15570.4946613780. The cubic root of 242440304 is about 623.5456779540.

Adding to 242440304 its reverse (403044242), we get a palindrome (645484546).

The spelling of 242440304 in words is "two hundred forty-two million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 536 1072 1273 2546 5092 10184 11903 20368 23806 47612 95224 190448 226157 452314 797501 904628 1595002 1809256 3190004 3618512 6380008 12760016 15152519 30305038 60610076 121220152 242440304