[go: up one dir, main page]

Search a number
-
+
242423480 = 235131074357
BaseRepresentation
bin11100111001100…
…01011010111000
3121220011101111102
432130301122320
5444030022410
640015550532
76002364665
oct1634613270
9556141442
10242423480
11114929392
126922b448
133b2bbc60
14242a6a6c
15164392a5
hexe7316b8

242423480 has 64 divisors (see below), whose sum is σ = 593036640. Its totient is φ = 88653312.

The previous prime is 242423449. The next prime is 242423483. The reversal of 242423480 is 84324242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242423483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53462 + ... + 57818.

Almost surely, 2242423480 is an apocalyptic number.

242423480 is a gapful number since it is divisible by the number (20) 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 242423480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296518320).

242423480 is an abundant number, since it is smaller than the sum of its proper divisors (350613160).

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

242423480 is a wasteful number, since it uses less digits than its factorization.

242423480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 242423480 is about 15569.9543994194. The cubic root of 242423480 is about 623.5312540938.

The spelling of 242423480 in words is "two hundred forty-two million, four hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1070 1391 2140 2782 4280 4357 5564 6955 8714 11128 13910 17428 21785 27820 34856 43570 55640 56641 87140 113282 174280 226564 283205 453128 466199 566410 932398 1132820 1864796 2265640 2330995 3729592 4661990 6060587 9323980 12121174 18647960 24242348 30302935 48484696 60605870 121211740 242423480