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242300656 = 24134212767
BaseRepresentation
bin11100111000100…
…11011011110000
3121212221011000101
432130103123300
5444012110111
640013202144
76001343623
oct1634233360
9555834011
10242300656
11114855084
1269190354
133b278090
1424273dba
1516412bc1
hexe7136f0

242300656 has 40 divisors (see below), whose sum is σ = 506953664. Its totient is φ = 111525120.

The previous prime is 242300629. The next prime is 242300687. The reversal of 242300656 is 656003242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86185 + ... + 88951.

Almost surely, 2242300656 is an apocalyptic number.

242300656 is a gapful number since it is divisible by the number (26) 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 242300656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253476832).

242300656 is an abundant number, since it is smaller than the sum of its proper divisors (264653008).

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

242300656 is a wasteful number, since it uses less digits than its factorization.

242300656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 242300656 is about 15566.0096363840. The cubic root of 242300656 is about 623.4259321447.

Adding to 242300656 its reverse (656003242), we get a palindrome (898303898).

The spelling of 242300656 in words is "two hundred forty-two million, three hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 421 842 1684 2767 3368 5473 5534 6736 10946 11068 21892 22136 35971 43784 44272 71942 87568 143884 287768 575536 1164907 2329814 4659628 9319256 15143791 18638512 30287582 60575164 121150328 242300656