Search a number
-
+
3362552144 = 247313472791
BaseRepresentation
bin1100100001101100…
…0111100101010000
322200100020100101022
43020123013211100
523341303132034
61313355055012
7146220136010
oct31033074520
98610210338
103362552144
111476089216
1279a141468
13417843b33
1423c81dc40
1514a30bb2e
hexc86c7950

3362552144 has 80 divisors (see below), whose sum is σ = 7710744576. Its totient is φ = 1390089600.

The previous prime is 3362552143. The next prime is 3362552159. The reversal of 3362552144 is 4412552633.

It is a super-2 number, since 2×33625521442 = 22613513842237993472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362552143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203389 + ... + 1206179.

Almost surely, 23362552144 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 3362552144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855372288).

3362552144 is an abundant number, since it is smaller than the sum of its proper divisors (4348192432).

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

3362552144 is a wasteful number, since it uses less digits than its factorization.

3362552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3178 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 3362552144 is about 57987.5171394672. The cubic root of 3362552144 is about 1498.1536013257.

The spelling of 3362552144 in words is "three billion, three hundred sixty-two million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 347 434 496 694 868 1388 1736 2429 2776 2791 3472 4858 5552 5582 9716 10757 11164 19432 19537 21514 22328 38864 39074 43028 44656 75299 78148 86056 86521 150598 156296 172112 173042 301196 312592 346084 602392 605647 692168 968477 1204784 1211294 1384336 1936954 2422588 3873908 4845176 6779339 7747816 9690352 13558678 15495632 27117356 30022787 54234712 60045574 108469424 120091148 210159509 240182296 420319018 480364592 840638036 1681276072 3362552144