Search a number
-
+
1342963530 = 233543131883
BaseRepresentation
bin101000000001011…
…1111111101001010
310110121000121122000
41100002333331022
510222244313110
6341132211430
745165000366
oct12002777512
93417017560
101342963530
1162a082417
12315909b76
131852cb69c
14ca5062a6
157cd7a1c0
hex500bff4a

1342963530 has 128 divisors (see below), whose sum is σ = 3696675840. Its totient is φ = 346731840.

The previous prime is 1342963513. The next prime is 1342963541. The reversal of 1342963530 is 353692431.

It is a happy number.

1342963530 is a `hidden beast` number, since 1 + 34 + 2 + 96 + 3 + 530 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1520469 + ... + 1521351.

It is an arithmetic number, because the mean of its divisors is an integer number (28880280).

Almost surely, 21342963530 is an apocalyptic number.

1342963530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342963530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848337920).

1342963530 is an abundant number, since it is smaller than the sum of its proper divisors (2353712310).

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

1342963530 is a wasteful number, since it uses less digits than its factorization.

1342963530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1342963530 is about 36646.4668146876. The cubic root of 1342963530 is about 1103.2859128607.

The spelling of 1342963530 in words is "one billion, three hundred forty-two million, nine hundred sixty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 131 135 215 258 262 270 387 393 430 645 655 774 786 883 1161 1179 1290 1310 1766 1935 1965 2322 2358 2649 3537 3870 3930 4415 5298 5633 5805 5895 7074 7947 8830 11266 11610 11790 13245 15894 16899 17685 23841 26490 28165 33798 35370 37969 39735 47682 50697 56330 75938 79470 84495 101394 113907 115673 119205 152091 168990 189845 227814 231346 238410 253485 304182 341721 347019 379690 506970 569535 578365 683442 694038 760455 1025163 1041057 1139070 1156730 1520910 1708605 1735095 2050326 2082114 3123171 3417210 3470190 4973939 5125815 5205285 6246342 9947878 10251630 10410570 14921817 15615855 24869695 29843634 31231710 44765451 49739390 74609085 89530902 134296353 149218170 223827255 268592706 447654510 671481765 1342963530