Search a number
-
+
3285004734 = 235111932341
BaseRepresentation
bin1100001111001101…
…0011000110111110
322110221022112100000
43003303103012332
523211430122414
61301545015130
7144256036164
oct30363230676
98427275300
103285004734
111436332750
127781844a6
13404761bab
142323d5234
151435deb09
hexc3cd31be

3285004734 has 96 divisors (see below), whose sum is σ = 8476191360. Its totient is φ = 943034400.

The previous prime is 3285004721. The next prime is 3285004759. The reversal of 3285004734 is 4374005823.

It is a happy number.

It is a super-2 number, since 2×32850047342 = 21582512204804821512, which contains 22 as substring.

It is a congruent number.

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, 85404 + ... + 117744.

It is an arithmetic number, because the mean of its divisors is an integer number (88293660).

Almost surely, 23285004734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285004734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238095680).

3285004734 is an abundant number, since it is smaller than the sum of its proper divisors (5191186626).

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

3285004734 is a wasteful number, since it uses less digits than its factorization.

3285004734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32388 (or 32376 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3285004734 is about 57314.9608217610. The cubic root of 3285004734 is about 1486.5470745651.

The spelling of 3285004734 in words is "three billion, two hundred eighty-five million, four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 243 297 342 418 486 513 594 627 891 1026 1254 1539 1782 1881 2673 3078 3762 4617 5346 5643 9234 11286 16929 32341 33858 50787 64682 97023 101574 194046 291069 355751 582138 614479 711502 873207 1067253 1228958 1746414 1843437 2134506 2619621 3201759 3686874 5239242 5530311 6403518 6759269 7858863 9605277 11060622 13518538 15717726 16590933 19210554 20277807 28815831 33181866 40555614 49772799 57631662 60833421 86447493 99545598 121666842 149318397 172894986 182500263 298636794 365000526 547500789 1095001578 1642502367 3285004734