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3383064260 = 2251715763377
BaseRepresentation
bin1100100110100101…
…0111011011000100
322201202211110201022
43021221113123010
523412031024020
61315410450312
7146556400052
oct31151273304
98652743638
103383064260
111486719284
127a4b93998
1341bb76394
1424143d1d2
1514c00e625
hexc9a576c4

3383064260 has 48 divisors (see below), whose sum is σ = 7570375344. Its totient is φ = 1265491968.

The previous prime is 3383064239. The next prime is 3383064287. The reversal of 3383064260 is 624603833.

3383064260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 390536644 + 2992527616 = 19762^2 + 54704^2 .

It is a super-2 number, since 2×33830642602 = 22890247574578695200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3383064260.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21692 + ... + 85068.

It is an arithmetic number, because the mean of its divisors is an integer number (157716153).

Almost surely, 23383064260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383064260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785187672).

3383064260 is an abundant number, since it is smaller than the sum of its proper divisors (4187311084).

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

3383064260 is a wasteful number, since it uses less digits than its factorization.

3383064260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63560 (or 63558 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 3383064260 is about 58164.1148819442. The cubic root of 3383064260 is about 1501.1937548993.

The spelling of 3383064260 in words is "three billion, three hundred eighty-three million, sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1570 2669 3140 5338 10676 13345 26690 53380 63377 126754 253508 316885 633770 1077409 1267540 2154818 4309636 5387045 9950189 10774090 19900378 21548180 39800756 49750945 99501890 169153213 199003780 338306426 676612852 845766065 1691532130 3383064260