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242412024 = 23310100501
BaseRepresentation
bin11100111001011…
…10100111111000
3121220010210210010
432130232213320
5444024141044
640015421520
76002316411
oct1634564770
9556123703
10242412024
11114920818
12692248a0
133b2b698a
14242a2808
1516435bb9
hexe72e9f8

242412024 has 16 divisors (see below), whose sum is σ = 606030120. Its totient is φ = 80804000.

The previous prime is 242412017. The next prime is 242412029. The reversal of 242412024 is 420214242.

It is a super-3 number, since 3×2424120243 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242412029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050227 + ... + 5050274.

Almost surely, 2242412024 is an apocalyptic number.

242412024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242412024 is an abundant number, since it is smaller than the sum of its proper divisors (363618096).

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

242412024 is a wasteful number, since it uses less digits than its factorization.

242412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100510 (or 10100506 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 242412024 is about 15569.5865070335. The cubic root of 242412024 is about 623.5214320439.

Adding to 242412024 its reverse (420214242), we get a palindrome (662626266).

The spelling of 242412024 in words is "two hundred forty-two million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 10100501 20201002 30301503 40402004 60603006 80804008 121206012 242412024