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242134431 = 37211213613
BaseRepresentation
bin11100110111010…
…10110110011111
3121212121200222220
432123222312133
5443441300211
640005440423
76000052200
oct1633526637
9555550886
10242134431
11114751200
1269110113
133b21a516
142422d5a7
15163cd806
hexe6ead9f

242134431 has 36 divisors (see below), whose sum is σ = 412830936. Its totient is φ = 125774880.

The previous prime is 242134421. The next prime is 242134439. The reversal of 242134431 is 134431242.

It is not a de Polignac number, because 242134431 - 26 = 242134367 is a prime.

It is a super-2 number, since 2×2421344312 = 117258165351387522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242134439) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10981 + ... + 24593.

It is an arithmetic number, because the mean of its divisors is an integer number (11467526).

Almost surely, 2242134431 is an apocalyptic number.

242134431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242134431 is a deficient number, since it is larger than the sum of its proper divisors (170696505).

242134431 is a wasteful number, since it uses less digits than its factorization.

242134431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13634 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 242134431 is about 15560.6693622093. The cubic root of 242134431 is about 623.2833370127.

Adding to 242134431 its reverse (134431242), we get a palindrome (376565673).

The spelling of 242134431 in words is "two hundred forty-two million, one hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 363 539 847 1617 2541 5929 13613 17787 40839 95291 149743 285873 449229 667037 1048201 1647173 2001111 3144603 4941519 7337407 11530211 22012221 34590633 80711477 242134431