Search a number
-
+
3386557244 = 2272913073191
BaseRepresentation
bin1100100111011010…
…1100001100111100
322202000101221012002
43021312230030330
523413424312434
61320013401432
7146631155510
oct31166541474
98660357162
103386557244
111488694644
127a6199278
1341c7ca235
14241aac140
1514c49e57e
hexc9dac33c

3386557244 has 48 divisors (see below), whose sum is σ = 7014228480. Its totient is φ = 1399823040.

The previous prime is 3386557151. The next prime is 3386557247. The reversal of 3386557244 is 4427556833.

It is a super-2 number, since 2×33865572442 = 22937539933777751072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386557247) 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 15 ways as a sum of consecutive naturals, for example, 1059689 + ... + 1062879.

It is an arithmetic number, because the mean of its divisors is an integer number (146129760).

Almost surely, 23386557244 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 3386557244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507114240).

3386557244 is an abundant number, since it is smaller than the sum of its proper divisors (3627671236).

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

3386557244 is a wasteful number, since it uses less digits than its factorization.

3386557244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4536 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 47.

The square root of 3386557244 is about 58194.1341030176. The cubic root of 3386557244 is about 1501.7102336225.

The spelling of 3386557244 in words is "three billion, three hundred eighty-six million, five hundred fifty-seven thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1307 2614 3191 5228 6382 9149 12764 18298 22337 36596 37903 44674 75806 89348 92539 151612 185078 265321 370156 530642 647773 1061284 1295546 2591092 4170637 8341274 16682548 29194459 58388918 116777836 120948473 241896946 483793892 846639311 1693278622 3386557244