Search a number
-
+
953323668 = 223411224317
BaseRepresentation
bin111000110100101…
…001000010010100
32110102211212020000
4320310221002110
53423022324133
6234333011300
732424055203
oct7064510224
92412755200
10953323668
1144a143200
12227323b30
1312267685b
149087b23a
1558a61413
hex38d29094

953323668 has 90 divisors (see below), whose sum is σ = 2739447018. Its totient is φ = 288874080.

The previous prime is 953323661. The next prime is 953323673. The reversal of 953323668 is 866323359.

It can be written as a sum of positive squares in only one way, i.e., 870368004 + 82955664 = 29502^2 + 9108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953323661) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27046 + ... + 51362.

Almost surely, 2953323668 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 953323668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369723509).

953323668 is an abundant number, since it is smaller than the sum of its proper divisors (1786123350).

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

953323668 is a wasteful number, since it uses less digits than its factorization.

953323668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24355 (or 24333 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 953323668 is about 30875.9399533034. The cubic root of 953323668 is about 984.1926675082.

The spelling of 953323668 in words is "nine hundred fifty-three million, three hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 24317 39204 48634 72951 97268 145902 218853 267487 291804 437706 534974 656559 802461 875412 1069948 1313118 1604922 1969677 2407383 2626236 2942357 3209844 3939354 4814766 5884714 7222149 7878708 8827071 9629532 11769428 14444298 17654142 21666447 26481213 28888596 35308284 43332894 52962426 79443639 86665788 105924852 158887278 238330917 317774556 476661834 953323668