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242504340 = 223513417583
BaseRepresentation
bin11100111010001…
…01001010010100
3121220022111102020
432131011022110
5444040114330
640021413140
76003152511
oct1635051224
9556274366
10242504340
11114984111
126926a1b0
133b3199c0
14242c8308
1516453210
hexe745294

242504340 has 96 divisors (see below), whose sum is σ = 749177856. Its totient is φ = 58229760.

The previous prime is 242504329. The next prime is 242504347. The reversal of 242504340 is 43405242.

It is a self number, because there is not a number n which added to its sum of digits gives 242504340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242504347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28189 + ... + 35771.

It is an arithmetic number, because the mean of its divisors is an integer number (7803936).

Almost surely, 2242504340 is an apocalyptic number.

242504340 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 242504340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374588928).

242504340 is an abundant number, since it is smaller than the sum of its proper divisors (506673516).

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

242504340 is a wasteful number, since it uses less digits than its factorization.

242504340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242504340 is about 15572.5508507759. The cubic root of 242504340 is about 623.6005723690.

Adding to 242504340 its reverse (43405242), we get a palindrome (285909582).

The spelling of 242504340 in words is "two hundred forty-two million, five hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7583 7995 10660 15166 15990 22749 30332 31980 37915 45498 75830 90996 98579 113745 151660 197158 227490 295737 310903 394316 454980 492895 591474 621806 932709 985790 1182948 1243612 1478685 1554515 1865418 1971580 2957370 3109030 3730836 4041739 4663545 5914740 6218060 8083478 9327090 12125217 16166956 18654180 20208695 24250434 40417390 48500868 60626085 80834780 121252170 242504340