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3032131340 = 2257191517549
BaseRepresentation
bin1011010010111010…
…1010011100001100
321211022111020020202
42310232222130030
522202211200330
61220513033032
7135065456030
oct26456523414
97738436222
103032131340
111316617177
12707555778
13394254674
1420a9ac1c0
1512b2de445
hexb4baa70c

3032131340 has 96 divisors (see below), whose sum is σ = 7711872000. Its totient is φ = 978220800.

The previous prime is 3032131309. The next prime is 3032131357. The reversal of 3032131340 is 431312303.

3032131340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397886 + ... + 405434.

It is an arithmetic number, because the mean of its divisors is an integer number (80332000).

Almost surely, 23032131340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3032131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855936000).

3032131340 is an abundant number, since it is smaller than the sum of its proper divisors (4679740660).

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

3032131340 is a wasteful number, since it uses less digits than its factorization.

3032131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3032131340 is about 55064.7921997350. The cubic root of 3032131340 is about 1447.3803417562.

Adding to 3032131340 its reverse (431312303), we get a palindrome (3463443643).

The spelling of 3032131340 in words is "three billion, thirty-two million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 151 190 266 302 380 532 604 665 755 1057 1330 1510 2114 2660 2869 3020 4228 5285 5738 7549 10570 11476 14345 15098 20083 21140 28690 30196 37745 40166 52843 57380 75490 80332 100415 105686 143431 150980 200830 211372 264215 286862 401660 528430 573724 717155 1004017 1056860 1139899 1434310 2008034 2279798 2868620 4016068 4559596 5020085 5699495 7979293 10040170 11398990 15958586 20080340 21658081 22797980 31917172 39896465 43316162 79792930 86632324 108290405 151606567 159585860 216580810 303213134 433161620 606426268 758032835 1516065670 3032131340