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668244330 = 234513173733
BaseRepresentation
bin100111110101001…
…001100101101010
31201120102022220000
4213311021211222
52332032304310
6150150443430
722362661125
oct4765114552
91646368800
10668244330
1131322a946
12167963576
13a85a1260
1464a6d3bc
153d9ed4c0
hex27d4996a

668244330 has 160 divisors (see below), whose sum is σ = 2049428304. Its totient is φ = 154773504.

The previous prime is 668244329. The next prime is 668244337. The reversal of 668244330 is 33442866.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 271557441 + 396686889 = 16479^2 + 19917^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668244337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177144 + ... + 180876.

Almost surely, 2668244330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668244330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024714152).

668244330 is an abundant number, since it is smaller than the sum of its proper divisors (1381183974).

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

668244330 is a wasteful number, since it uses less digits than its factorization.

668244330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 668244330 is about 25850.4222402652. The cubic root of 668244330 is about 874.2690297936.

The spelling of 668244330 in words is "six hundred sixty-eight million, two hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1530 1755 1989 2106 2210 2295 2754 3315 3510 3733 3978 4590 5265 5967 6630 6885 7466 9945 10530 11199 11934 13770 17901 18665 19890 22398 29835 33597 35802 37330 48529 55995 59670 63461 67194 89505 97058 100791 111990 126922 145587 167985 179010 190383 201582 242645 291174 302373 317305 335970 380766 436761 485290 503955 571149 604746 634610 727935 824993 873522 951915 1007910 1142298 1310283 1455870 1511865 1649986 1713447 1903830 2183805 2474979 2620566 2855745 3023730 3426894 3930849 4124965 4367610 4949958 5140341 5711490 6551415 7424937 7861698 8249930 8567235 10280682 12374895 13102830 14849874 17134470 19654245 22274811 24749790 25701705 37124685 39308490 44549622 51403410 66824433 74249370 111374055 133648866 222748110 334122165 668244330