Search a number
-
+
3381088260 = 2235119752813
BaseRepresentation
bin1100100110000111…
…0101000000000100
322201122010002011010
43021201311000010
523411024311020
61315300242220
7146533530114
oct31141650004
98648102133
103381088260
111485599720
127a43a0370
1341b633b54
14241087044
1514bc6dde0
hexc9875004

3381088260 has 96 divisors (see below), whose sum is σ = 10434356352. Its totient is φ = 811192320.

The previous prime is 3381088229. The next prime is 3381088261. The reversal of 3381088260 is 628801833.

It is a super-2 number, since 2×33810882602 = 22863515643819655200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3381088261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37614 + ... + 90426.

It is an arithmetic number, because the mean of its divisors is an integer number (108691212).

Almost surely, 23381088260 is an apocalyptic number.

3381088260 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 3381088260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217178176).

3381088260 is an abundant number, since it is smaller than the sum of its proper divisors (7053268092).

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

3381088260 is a wasteful number, since it uses less digits than its factorization.

3381088260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52933 (or 52931 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3381088260 is about 58147.1259822874. The cubic root of 3381088260 is about 1500.9014226274.

The spelling of 3381088260 in words is "three billion, three hundred eighty-one million, eighty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 21340 32010 52813 64020 105626 158439 211252 264065 316878 528130 580943 633756 792195 1056260 1161886 1584390 1742829 2323772 2904715 3168780 3485658 5122861 5809430 6971316 8714145 10245722 11618860 15368583 17428290 20491444 25614305 30737166 34856580 51228610 56351471 61474332 76842915 102457220 112702942 153685830 169054413 225405884 281757355 307371660 338108826 563514710 676217652 845272065 1127029420 1690544130 3381088260