Search a number
-
+
1342540350 = 2325253181311
BaseRepresentation
bin101000000000101…
…1000101000111110
310110120020010010200
41100001120220332
510222142242400
6341115144330
745161255544
oct12001305076
93416203120
101342540350
11629913488
123157450a6
131851b0b98
14ca435d94
157cce4b00
hex50058a3e

1342540350 has 144 divisors (see below), whose sum is σ = 3707200224. Its totient is φ = 348192000.

The previous prime is 1342540327. The next prime is 1342540411. The reversal of 1342540350 is 530452431.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4316695 + ... + 4317005.

It is an arithmetic number, because the mean of its divisors is an integer number (25744446).

Almost surely, 21342540350 is an apocalyptic number.

1342540350 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 1342540350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853600112).

1342540350 is an abundant number, since it is smaller than the sum of its proper divisors (2364659874).

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

1342540350 is a wasteful number, since it uses less digits than its factorization.

1342540350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1342540350 is about 36640.6925425817. The cubic root of 1342540350 is about 1103.1700155507.

Adding to 1342540350 its reverse (530452431), we get a palindrome (1872992781).

The spelling of 1342540350 in words is "one billion, three hundred forty-two million, five hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 181 225 265 311 318 362 450 477 530 543 622 795 905 933 954 1086 1325 1555 1590 1629 1810 1866 2385 2650 2715 2799 3110 3258 3975 4525 4665 4770 5430 5598 7775 7950 8145 9050 9330 9593 11925 13575 13995 15550 16290 16483 19186 23325 23850 27150 27990 28779 32966 40725 46650 47965 49449 56291 57558 69975 81450 82415 86337 95930 98898 112582 139950 143895 148347 164830 168873 172674 239825 247245 281455 287790 296694 337746 412075 431685 479650 494490 506619 562910 719475 741735 824150 844365 863370 1013238 1236225 1407275 1438950 1483470 1688730 2158425 2472450 2533095 2814550 2983423 3708675 4221825 4316850 5066190 5966846 7417350 8443650 8950269 12665475 14917115 17900538 25330950 26850807 29834230 44751345 53701614 74585575 89502690 134254035 149171150 223756725 268508070 447513450 671270175 1342540350