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3243242340 = 22325132575393
BaseRepresentation
bin1100000101001111…
…1111001101100100
322101000201210002200
43001103333031210
523120232223330
61253453534500
7143241051012
oct30123771544
98330653080
103243242340
1114147a8a78
127661a4430
133c8bcc110
1422aa438b2
1513eae0a60
hexc14ff364

3243242340 has 144 divisors (see below), whose sum is σ = 10637787888. Its totient is φ = 795082752.

The previous prime is 3243242339. The next prime is 3243242357. The reversal of 3243242340 is 432423423.

It can be written as a sum of positive squares in 8 ways, for example, as 376282404 + 2866959936 = 19398^2 + 53544^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 598684 + ... + 604076.

It is an arithmetic number, because the mean of its divisors is an integer number (73873527).

Almost surely, 23243242340 is an apocalyptic number.

3243242340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318893944).

3243242340 is an abundant number, since it is smaller than the sum of its proper divisors (7394545548).

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

3243242340 is a wasteful number, since it uses less digits than its factorization.

3243242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3243242340 is about 56949.4718149343. The cubic root of 3243242340 is about 1480.2206786835.

Adding to 3243242340 its reverse (432423423), we get a palindrome (3675665763).

The spelling of 3243242340 in words is "three billion, two hundred forty-three million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 257 260 390 468 514 585 771 780 1028 1170 1285 1542 2313 2340 2570 3084 3341 3855 4626 5140 5393 6682 7710 9252 10023 10786 11565 13364 15420 16179 16705 20046 21572 23130 26965 30069 32358 33410 40092 46260 48537 50115 53930 60138 64716 66820 70109 80895 97074 100230 107860 120276 140218 150345 161790 194148 200460 210327 242685 280436 300690 323580 350545 420654 485370 601380 630981 701090 841308 970740 1051635 1261962 1386001 1402180 2103270 2523924 2772002 3154905 4158003 4206540 5544004 6309810 6930005 8316006 12474009 12619620 13860010 16632012 18018013 20790015 24948018 27720020 36036026 41580030 49896036 54054039 62370045 72072052 83160060 90090065 108108078 124740090 162162117 180180130 216216156 249480180 270270195 324324234 360360260 540540390 648648468 810810585 1081080780 1621621170 3243242340