Search a number
-
+
3386653140 = 2235137161153
BaseRepresentation
bin1100100111011100…
…0011100111010100
322202000120210201210
43021313003213110
523413440400030
61320015421420
7146632035213
oct31167034724
98660523653
103386653140
11148874a6a2
127a6224870
1341c831a90
14241ad507a
1514c4bcbb0
hexc9dc39d4

3386653140 has 96 divisors (see below), whose sum is σ = 10356062976. Its totient is φ = 821882880.

The previous prime is 3386653139. The next prime is 3386653219. The reversal of 3386653140 is 413566833.

It is a super-2 number, since 2×33866531402 = 22938838981343719200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24804 + ... + 85956.

It is an arithmetic number, because the mean of its divisors is an integer number (107875656).

Almost surely, 23386653140 is an apocalyptic number.

3386653140 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 3386653140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178031488).

3386653140 is an abundant number, since it is smaller than the sum of its proper divisors (6969409836).

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

3386653140 is a wasteful number, since it uses less digits than its factorization.

3386653140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61249 (or 61247 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3386653140 is about 58194.9580290252. The cubic root of 3386653140 is about 1501.7244079629.

The spelling of 3386653140 in words is "three billion, three hundred eighty-six million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2769 3692 4260 4615 5538 9230 11076 13845 18460 27690 55380 61153 122306 183459 244612 305765 366918 611530 733836 794989 917295 1223060 1589978 1834590 2384967 3179956 3669180 3974945 4341863 4769934 7949890 8683726 9539868 11924835 13025589 15899780 17367452 21709315 23849670 26051178 43418630 47699340 52102356 56444219 65127945 86837260 112888438 130255890 169332657 225776876 260511780 282221095 338665314 564442190 677330628 846663285 1128884380 1693326570 3386653140