Search a number
-
+
32040316 = 2273112193
BaseRepresentation
bin111101000111…
…0010101111100
32020021211001101
41322032111330
531200242231
63102422444
7536224000
oct172162574
966254041
1032040316
11170a4400
12a891a24
13683a889
144380700
152c2d661
hex1e8e57c

32040316 has 72 divisors (see below), whose sum is σ = 72245600. Its totient is φ = 12418560.

The previous prime is 32040299. The next prime is 32040317. The reversal of 32040316 is 61304023.

It is a junction number, because it is equal to n+sod(n) for n = 32040293 and 32040302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32040317) 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, 165916 + ... + 166108.

Almost surely, 232040316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32040316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36122800).

32040316 is an abundant number, since it is smaller than the sum of its proper divisors (40205284).

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

32040316 is a wasteful number, since it uses less digits than its factorization.

32040316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 32040316 is about 5660.4165924426. The cubic root of 32040316 is about 317.6134829004.

Adding to 32040316 its reverse (61304023), we get a palindrome (93344339).

The spelling of 32040316 in words is "thirty-two million, forty thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 193 196 242 308 343 386 484 539 686 772 847 1078 1351 1372 1694 2123 2156 2702 3388 3773 4246 5404 5929 7546 8492 9457 11858 14861 15092 18914 23353 23716 29722 37828 41503 46706 59444 66199 83006 93412 104027 132398 163471 166012 208054 264796 326942 416108 653884 728189 1144297 1456378 2288594 2912756 4577188 8010079 16020158 32040316