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242023404 = 223715119081
BaseRepresentation
bin11100110110011…
…11101111101100
3121212102001200210
432123033233230
5443424222104
640003222420
75666110410
oct1633175754
9555361623
10242023404
11114685847
1269077a10
133b1abb1c
1424200d40
15163aa989
hexe6cfbec

242023404 has 48 divisors (see below), whose sum is σ = 649703936. Its totient is φ = 68688000.

The previous prime is 242023403. The next prime is 242023409. The reversal of 242023404 is 404320242.

242023404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (242023403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144 + ... + 22224.

Almost surely, 2242023404 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 242023404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324851968).

242023404 is an abundant number, since it is smaller than the sum of its proper divisors (407680532).

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

242023404 is a wasteful number, since it uses less digits than its factorization.

242023404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246 (or 19244 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242023404 is about 15557.1014009680. The cubic root of 242023404 is about 623.1880568020.

Adding to 242023404 its reverse (404320242), we get a palindrome (646343646).

The spelling of 242023404 in words is "two hundred forty-two million, twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 6342 12684 19081 38162 57243 76324 114486 133567 228972 267134 400701 534268 801402 1602804 2881231 5762462 8643693 11524924 17287386 20168617 34574772 40337234 60505851 80674468 121011702 242023404