Search a number
-
+
3242332401 = 3721110119853
BaseRepresentation
bin1100000101000010…
…0001000011110001
322100222000112220020
43001100201003301
523120014114101
61253422234053
7143230241100
oct30120410361
98328015806
103242332401
111414237360
12765a25929
133c8970ba9
1422a888037
1513e9b1136
hexc14210f1

3242332401 has 48 divisors (see below), whose sum is σ = 5540695488. Its totient is φ = 1667568000.

The previous prime is 3242332381. The next prime is 3242332469. The reversal of 3242332401 is 1042332423.

It is not a de Polignac number, because 3242332401 - 26 = 3242332337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3242332601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153391 + ... + 173243.

It is an arithmetic number, because the mean of its divisors is an integer number (115431156).

Almost surely, 23242332401 is an apocalyptic number.

It is an amenable number.

3242332401 is a deficient number, since it is larger than the sum of its proper divisors (2298363087).

3242332401 is a wasteful number, since it uses less digits than its factorization.

3242332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19982 (or 19975 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3242332401 is about 56941.4822515185. The cubic root of 3242332401 is about 1480.0822332260.

Adding to 3242332401 its reverse (1042332423), we get a palindrome (4284664824).

The spelling of 3242332401 in words is "three billion, two hundred forty-two million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 3 7 11 21 33 49 77 101 147 231 303 539 707 1111 1617 2121 3333 4949 7777 14847 19853 23331 54439 59559 138971 163317 218383 416913 655149 972797 1528681 2005153 2918391 4586043 6015459 10700767 14036071 22056683 32102301 42108213 66170049 98252497 154396781 294757491 463190343 1080777467 3242332401