Search a number
-
+
3563245332 = 22321953227433
BaseRepresentation
bin1101010001100010…
…1100111100010100
3100012022212121200100
43110120230330110
524244142322312
61345324414100
7154205041233
oct32430547424
910168777610
103563245332
1115693a4a59
128353a7330
1344a2b17ba
1425b342b1a
1515cc515dc
hexd462cf14

3563245332 has 144 divisors (see below), whose sum is σ = 9725002560. Its totient is φ = 1096602624.

The previous prime is 3563245303. The next prime is 3563245337. The reversal of 3563245332 is 2335423653.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563245337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8228988 + ... + 8229420.

It is an arithmetic number, because the mean of its divisors is an integer number (67534740).

Almost surely, 23563245332 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 3563245332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

3563245332 is an abundant number, since it is smaller than the sum of its proper divisors (6161757228).

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

3563245332 is a wasteful number, since it uses less digits than its factorization.

3563245332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 737 counting only the distinct ones).

The product of its digits is 194400, while the sum is 36.

The square root of 3563245332 is about 59692.9253094535. The cubic root of 3563245332 is about 1527.3851890246.

Adding to 3563245332 its reverse (2335423653), we get a palindrome (5898668985).

The spelling of 3563245332 in words is "three billion, five hundred sixty-three million, two hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 227 228 318 342 433 454 477 636 681 684 866 908 954 1007 1299 1362 1732 1908 2014 2043 2598 2724 3021 3897 4028 4086 4313 5196 6042 7794 8172 8227 8626 9063 12031 12084 12939 15588 16454 17252 18126 22949 24062 24681 25878 32908 36093 36252 38817 45898 48124 49362 51756 68847 72186 74043 77634 91796 98291 98724 108279 137694 144372 148086 155268 196582 206541 216558 228589 275388 294873 296172 393164 413082 433116 436031 457178 589746 685767 826164 872062 884619 914356 1179492 1308093 1371534 1744124 1769238 1867529 2057301 2616186 2743068 3538476 3735058 3924279 4114602 5209423 5232372 5602587 7470116 7848558 8229204 10418846 11205174 15628269 15697116 16807761 20837692 22410348 31256538 33615522 46884807 62513076 67231044 93769614 98979037 187539228 197958074 296937111 395916148 593874222 890811333 1187748444 1781622666 3563245332