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434103241332 = 2233727718111949
BaseRepresentation
bin1100101000100101001…
…00011100101001110100
31112111111101211112022010
412110102210130221310
524103020412210312
6531231351004220
743235324445405
oct6242244345164
91474441745263
10434103241332
11158113a65372
1270170369670
1331c21b31a97
14170215579ac
15b45a88c93c
hex651291ca74

434103241332 has 96 divisors (see below), whose sum is σ = 1045151452800. Its totient is φ = 140132574720.

The previous prime is 434103241307. The next prime is 434103241337. The reversal of 434103241332 is 233142301434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 434103241332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434103241337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222730294 + ... + 222732242.

It is an arithmetic number, because the mean of its divisors is an integer number (10886994300).

Almost surely, 2434103241332 is an apocalyptic number.

It is an amenable number.

434103241332 is an abundant number, since it is smaller than the sum of its proper divisors (611048211468).

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

434103241332 is a wasteful number, since it uses less digits than its factorization.

434103241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 434103241332 its reverse (233142301434), we get a palindrome (667245542766).

The spelling of 434103241332 in words is "four hundred thirty-four billion, one hundred three million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 277 444 554 831 1108 1662 1811 1949 3324 3622 3898 5433 5847 7244 7796 10249 10866 11694 20498 21732 23388 30747 40996 61494 67007 72113 122988 134014 144226 201021 216339 268028 288452 402042 432678 501647 539873 804084 865356 1003294 1079746 1504941 1619619 2006588 2159492 3009882 3239238 3529639 6019764 6478476 7059278 10588917 14118556 18560939 19975301 21177834 37121878 39950602 42355668 55682817 59925903 74243756 79901204 111365634 119851806 130596643 222731268 239703612 261193286 391789929 522386572 783579858 977710003 1567159716 1955420006 2933130009 3910840012 5866260018 11732520036 36175270111 72350540222 108525810333 144701080444 217051620666 434103241332