Search a number
-
+
3339975268 = 2271923893067
BaseRepresentation
bin1100011100010011…
…1111101001100100
322121202202022201201
43013010333221210
523320013202033
61311231132244
7145524215140
oct30704775144
98552668651
103339975268
111464368943
12792674084
13412c6a836
14239824220
1514834c47d
hexc713fa64

3339975268 has 96 divisors (see below), whose sum is σ = 7422105600. Its totient is φ = 1282127616.

The previous prime is 3339975263. The next prime is 3339975307. The reversal of 3339975268 is 8625799333.

It is a happy number.

It is a super-2 number, since 2×33399752682 = 22310869581703343648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3339975263) 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, 1087471 + ... + 1090537.

It is an arithmetic number, because the mean of its divisors is an integer number (77313600).

Almost surely, 23339975268 is an apocalyptic number.

3339975268 is a gapful number since it is divisible by the number (38) 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 3339975268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711052800).

3339975268 is an abundant number, since it is smaller than the sum of its proper divisors (4082130332).

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

3339975268 is a wasteful number, since it uses less digits than its factorization.

3339975268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3207 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 55.

The square root of 3339975268 is about 57792.5191352652. The cubic root of 3339975268 is about 1494.7930971706.

The spelling of 3339975268 in words is "three billion, three hundred thirty-nine million, nine hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 89 92 133 161 178 266 322 356 437 532 623 644 874 1246 1691 1748 2047 2492 3059 3067 3382 4094 6118 6134 6764 8188 11837 12236 12268 14329 21469 23674 28658 38893 42938 47348 57316 58273 70541 77786 85876 116546 141082 155572 233092 272251 272963 282164 407911 493787 544502 545926 815822 987574 1089004 1091852 1340279 1631644 1910741 1975148 2680558 3821482 5186297 5361116 6278149 7642964 9381953 10372594 12556298 18763906 20745188 25112596 36304079 37527812 43947043 72608158 87894086 119284831 145216316 175788172 238569662 477139324 834993817 1669987634 3339975268