Search a number
-
+
3301709664 = 253114176259
BaseRepresentation
bin1100010011001100…
…0001011101100000
322112002202020012010
43010303001131200
523230214202124
61303343032520
7144551032461
oct30463013540
98462666163
103301709664
111444802380
1278189b740
13408060576
14234702d68
15144cde529
hexc4cc1760

3301709664 has 96 divisors (see below), whose sum is σ = 9685630080. Its totient is φ = 976102400.

The previous prime is 3301709657. The next prime is 3301709669. The reversal of 3301709664 is 4669071033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301709669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5167 + ... + 81425.

It is an arithmetic number, because the mean of its divisors is an integer number (100891980).

Almost surely, 23301709664 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 3301709664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842815040).

3301709664 is an abundant number, since it is smaller than the sum of its proper divisors (6383920416).

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

3301709664 is a wasteful number, since it uses less digits than its factorization.

3301709664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76324 (or 76316 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3301709664 is about 57460.5052536088. The cubic root of 3301709664 is about 1489.0626153596.

The spelling of 3301709664 in words is "three billion, three hundred one million, seven hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 76259 152518 228777 305036 457554 610072 838849 915108 1220144 1677698 1830216 2440288 2516547 3126619 3355396 3660432 5033094 6253238 6710792 7320864 9379857 10066188 12506476 13421584 18759714 20132376 25012952 26843168 34392809 37519428 40264752 50025904 68785618 75038856 80529504 100051808 103178427 137571236 150077712 206356854 275142472 300155424 412713708 550284944 825427416 1100569888 1650854832 3301709664