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2430144342 = 23515673191
BaseRepresentation
bin1001000011011001…
…0000111101010110
320021100202010100000
42100312100331112
514434104104332
61041050232130
7114135612633
oct22066207526
96240663300
102430144342
11103783145a
12579a25646
132c9611542
14190a6918a
15e352cb7c
hex90d90f56

2430144342 has 48 divisors (see below), whose sum is σ = 5465521152. Its totient is φ = 809277480.

The previous prime is 2430144341. The next prime is 2430144361. The reversal of 2430144342 is 2434410342.

It is a happy number.

It is a super-2 number, since 2×24301443422 = 11811203045909225928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

2430144342 is a modest number, since divided by 144342 gives 2430 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430144341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759967 + ... + 763157.

It is an arithmetic number, because the mean of its divisors is an integer number (113865024).

Almost surely, 22430144342 is an apocalyptic number.

2430144342 is an abundant number, since it is smaller than the sum of its proper divisors (3035376810).

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

2430144342 is a wasteful number, since it uses less digits than its factorization.

2430144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2430144342 is about 49296.4942161205. The cubic root of 2430144342 is about 1344.4480429843.

Adding to 2430144342 its reverse (2434410342), we get a palindrome (4864554684).

The spelling of 2430144342 in words is "two billion, four hundred thirty million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1567 3134 3191 4701 6382 9402 9573 14103 19146 28206 28719 42309 57438 84618 86157 126927 172314 253854 258471 380781 516942 761562 775413 1550826 5000297 10000594 15000891 30001782 45002673 90005346 135008019 270016038 405024057 810048114 1215072171 2430144342