Search a number
-
+
3032013432 = 2337147112269
BaseRepresentation
bin1011010010111000…
…1101101001111000
321211022021020111210
42310232031221320
522202143412212
61220510323120
7135064455210
oct26456155170
97738236453
103032013432
111316546628
127074b94a0
13394212ab6
1420a97b240
1512b2b953c
hexb4b8da78

3032013432 has 64 divisors (see below), whose sum is σ = 8669491200. Its totient is φ = 865630080.

The previous prime is 3032013419. The next prime is 3032013437. The reversal of 3032013432 is 2343102303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3032013399 and 3032013408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3032013437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240994 + ... + 253262.

It is an arithmetic number, because the mean of its divisors is an integer number (135460800).

Almost surely, 23032013432 is an apocalyptic number.

It is an amenable number.

3032013432 is an abundant number, since it is smaller than the sum of its proper divisors (5637477768).

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

3032013432 is a wasteful number, since it uses less digits than its factorization.

3032013432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13756 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3032013432 is about 55063.7215596621. The cubic root of 3032013432 is about 1447.3615804830.

Adding to 3032013432 its reverse (2343102303), we get a palindrome (5375115735).

The spelling of 3032013432 in words is "three billion, thirty-two million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1471 2942 4413 5884 8826 10297 11768 12269 17652 20594 24538 30891 35304 36807 41188 49076 61782 73614 82376 85883 98152 123564 147228 171766 247128 257649 294456 343532 515298 687064 1030596 2061192 18047699 36095398 54143097 72190796 108286194 126333893 144381592 216572388 252667786 379001679 433144776 505335572 758003358 1010671144 1516006716 3032013432