Search a number
-
+
868643352 = 2335736121
BaseRepresentation
bin110011110001100…
…111001000011000
32020112111122200000
4303301213020120
53234333041402
6222110013000
730345226623
oct6361471030
92215448600
10868643352
11406365675
12202aa7160
1310ac68065
1483516dba
15513d5c1c
hex33c67218

868643352 has 96 divisors (see below), whose sum is σ = 2473532880. Its totient is φ = 285534720.

The previous prime is 868643309. The next prime is 868643353. The reversal of 868643352 is 253346868.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 868643298 and 868643307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868643353) 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, 138852 + ... + 144972.

Almost surely, 2868643352 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 868643352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236766440).

868643352 is an abundant number, since it is smaller than the sum of its proper divisors (1604889528).

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

868643352 is a wasteful number, since it uses less digits than its factorization.

868643352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6199 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 868643352 is about 29472.7560977931. The cubic root of 868643352 is about 954.1438017476.

The spelling of 868643352 in words is "eight hundred sixty-eight million, six hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 292 324 438 486 584 648 657 876 972 1314 1752 1944 1971 2628 3942 5256 5913 6121 7884 11826 12242 15768 17739 18363 23652 24484 35478 36726 47304 48968 55089 70956 73452 110178 141912 146904 165267 220356 330534 440712 446833 495801 661068 893666 991602 1322136 1340499 1487403 1787332 1983204 2680998 2974806 3574664 3966408 4021497 5361996 5949612 8042994 10723992 11899224 12064491 16085988 24128982 32171976 36193473 48257964 72386946 96515928 108580419 144773892 217160838 289547784 434321676 868643352