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34241303304 = 233213172151917
BaseRepresentation
bin11111111000111100…
…001101001100001000
310021101100001102201200
4133320330031030020
51030111233201204
623421421544200
72321350163415
oct377074151410
9107340042650
1034241303304
1113581360a7a
126777415060
1332c8ca2920
14192b85310c
15d56166539
hex7f8f0d308

34241303304 has 96 divisors (see below), whose sum is σ = 105745250520. Its totient is φ = 9916028928.

The previous prime is 34241303303. The next prime is 34241303311. The reversal of 34241303304 is 40330314243.

34241303304 is a `hidden beast` number, since 34 + 24 + 1 + 303 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25248574404 + 8992728900 = 158898^2 + 94830^2 .

It is not an unprimeable number, because it can be changed into a prime (34241303303) 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, 1060047 + ... + 1091870.

Almost surely, 234241303304 is an apocalyptic number.

34241303304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34241303304 is an abundant number, since it is smaller than the sum of its proper divisors (71503947216).

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

34241303304 is a wasteful number, since it uses less digits than its factorization.

34241303304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151959 (or 2151952 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34241303304 its reverse (40330314243), we get a palindrome (74571617547).

The spelling of 34241303304 in words is "thirty-four billion, two hundred forty-one million, three hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 2151917 4303834 6455751 8607668 12911502 17215336 19367253 25823004 27974921 36582589 38734506 51646008 55949842 73165178 77469012 83924763 109747767 111899684 146330356 154938024 167849526 219495534 223799368 251774289 292660712 329243301 335699052 438991068 475573657 503548578 658486602 671398104 877982136 951147314 1007097156 1316973204 1426720971 1902294628 2014194312 2633946408 2853441942 3804589256 4280162913 5706883884 8560325826 11413767768 17120651652 34241303304