Search a number
-
+
3142242324 = 2232136714193
BaseRepresentation
bin1011101101001010…
…1101000000010100
322002222200110010100
42323102231000110
522413403223244
61235445054100
7140603422224
oct27322550024
98088613110
103142242324
111372794191
127383b7330
133b0cc83b0
1421b472084
15135cdeb69
hexbb4ad014

3142242324 has 36 divisors (see below), whose sum is σ = 8553883156. Its totient is φ = 966843648.

The previous prime is 3142242281. The next prime is 3142242331. The reversal of 3142242324 is 4232422413.

3142242324 is a `hidden beast` number, since 3 + 1 + 422 + 4 + 232 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 762753924 + 2379488400 = 27618^2 + 48780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3356629 + ... + 3357564.

Almost surely, 23142242324 is an apocalyptic number.

It is an amenable number.

3142242324 is an abundant number, since it is smaller than the sum of its proper divisors (5411640832).

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

3142242324 is a wasteful number, since it uses less digits than its factorization.

3142242324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714216 (or 6714211 counting only the distinct ones).

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

The square root of 3142242324 is about 56055.7073276219. The cubic root of 3142242324 is about 1464.6928381022.

Adding to 3142242324 its reverse (4232422413), we get a palindrome (7374664737).

The spelling of 3142242324 in words is "three billion, one hundred forty-two million, two hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6714193 13428386 20142579 26856772 40285158 60427737 80570316 87284509 120855474 174569018 241710948 261853527 349138036 523707054 785560581 1047414108 1571121162 3142242324