Search a number
-
+
34142232304 = 2410198321493
BaseRepresentation
bin11111110011000010…
…010001111011110000
310021010102122002212101
4133303002101323300
51024410402413204
623403522310144
72316035120605
oct376302217360
9107112562771
1034142232304
1113530444514
12674a1b8354
1332b15c5c2b
14191c6246ac
15d4c5e6ea4
hex7f3091ef0

34142232304 has 40 divisors (see below), whose sum is σ = 66876603552. Its totient is φ = 16884115200.

The previous prime is 34142232283. The next prime is 34142232307. The reversal of 34142232304 is 40323224143.

It is a super-2 number, since 2×341422323042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142232307) 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 7 ways as a sum of consecutive naturals, for example, 1577782 + ... + 1599274.

Almost surely, 234142232304 is an apocalyptic number.

It is an amenable number.

34142232304 is a deficient number, since it is larger than the sum of its proper divisors (32734371248).

34142232304 is a wasteful number, since it uses less digits than its factorization.

34142232304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22579 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34142232304 its reverse (40323224143), we get a palindrome (74465456447).

It can be divided in two parts, 341 and 42232304, that added together give a triangular number (42232645 = T9190).

The spelling of 34142232304 in words is "thirty-four billion, one hundred forty-two million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 101 202 404 808 983 1616 1966 3932 7864 15728 21493 42986 85972 99283 171944 198566 343888 397132 794264 1588528 2170793 4341586 8683172 17366344 21127619 34732688 42255238 84510476 169020952 338041904 2133889519 4267779038 8535558076 17071116152 34142232304