Search a number
-
+
3340865346 = 2371323712721
BaseRepresentation
bin1100011100100001…
…1000111101000010
322121211102112200120
43013020120331002
523320230142341
61311302201110
7145534613130
oct30710307502
98554375616
103340865346
111464916645
12792a23196
134131bca00
142399b6750
15148476066
hexc7218f42

3340865346 has 96 divisors (see below), whose sum is σ = 8493003648. Its totient is φ = 857226240.

The previous prime is 3340865293. The next prime is 3340865351. The reversal of 3340865346 is 6435680433.

It is a super-2 number, since 2×33408653462 = 22322762520207399432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3340865298 and 3340865307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256266 + ... + 268986.

It is an arithmetic number, because the mean of its divisors is an integer number (88468788).

Almost surely, 23340865346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340865346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246501824).

3340865346 is an abundant number, since it is smaller than the sum of its proper divisors (5152138302).

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

3340865346 is a wasteful number, since it uses less digits than its factorization.

3340865346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12796 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 3340865346 is about 57800.2192556395. The cubic root of 3340865346 is about 1494.9258690400.

The spelling of 3340865346 in words is "three billion, three hundred forty million, eight hundred sixty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 169 182 222 259 273 338 481 507 518 546 777 962 1014 1183 1443 1554 2366 2886 3367 3549 6253 6734 7098 10101 12506 12721 18759 20202 25442 37518 38163 43771 76326 87542 89047 131313 165373 178094 262626 267141 330746 470677 496119 534282 941354 992238 1157611 1412031 2149849 2315222 2824062 3294739 3472833 4299698 6118801 6449547 6589478 6945666 9884217 12237602 12899094 15048943 18356403 19768434 30097886 36712806 42831607 45146829 79544413 85663214 90293658 128494821 159088826 238633239 256989642 477266478 556810891 1113621782 1670432673 3340865346