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242412414 = 23436173211
BaseRepresentation
bin11100111001011…
…10101101111110
3121220010211022120
432130232231332
5444024144124
640015423410
76002320506
oct1634565576
9556124276
10242412414
11114921042
1269224b66
133b2b6bca
14242a2a06
1516435d79
hexe72eb7e

242412414 has 64 divisors (see below), whose sum is σ = 513562368. Its totient is φ = 76204800.

The previous prime is 242412397. The next prime is 242412427. The reversal of 242412414 is 414214242.

It is a super-2 number, since 2×2424124142 = 117527556922614792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1148769 + ... + 1148979.

It is an arithmetic number, because the mean of its divisors is an integer number (8024412).

Almost surely, 2242412414 is an apocalyptic number.

242412414 is an abundant number, since it is smaller than the sum of its proper divisors (271149954).

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

242412414 is a wasteful number, since it uses less digits than its factorization.

242412414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its digits is 2048, while the sum is 24.

The square root of 242412414 is about 15569.5990314459. The cubic root of 242412414 is about 623.5217664239.

Adding to 242412414 its reverse (414214242), we get a palindrome (656626656).

The spelling of 242412414 in words is "two hundred forty-two million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 43 61 73 86 122 129 146 183 211 219 258 366 422 438 633 1266 2623 3139 4453 5246 6278 7869 8906 9073 9417 12871 13359 15403 15738 18146 18834 25742 26718 27219 30806 38613 46209 54438 77226 92418 191479 382958 553453 574437 662329 939583 1106906 1148874 1324658 1660359 1879166 1986987 2818749 3320718 3973974 5637498 40402069 80804138 121206207 242412414