Search a number
-
+
3334371320 = 235758720287
BaseRepresentation
bin1100011010111110…
…0111011111111000
322121101012121120002
43012233213133320
523312044340240
61310511052132
7145425455120
oct30657473770
98541177502
103334371320
111461190585
12790811048
13411a57ba7
14238ba5c80
15147ae1d15
hexc6be77f8

3334371320 has 64 divisors (see below), whose sum is σ = 8589127680. Its totient is φ = 1141209216.

The previous prime is 3334371281. The next prime is 3334371323. The reversal of 3334371320 is 231734333.

It is a super-2 number, since 2×33343713202 = 22236064199277084800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334371323) 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, 154217 + ... + 174503.

It is an arithmetic number, because the mean of its divisors is an integer number (134205120).

Almost surely, 23334371320 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 3334371320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294563840).

3334371320 is an abundant number, since it is smaller than the sum of its proper divisors (5254756360).

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

3334371320 is a wasteful number, since it uses less digits than its factorization.

3334371320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 20888 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 29.

The square root of 3334371320 is about 57744.0154474903. The cubic root of 3334371320 is about 1493.9566207065.

The spelling of 3334371320 in words is "three billion, three hundred thirty-four million, three hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 587 1174 2348 2935 4109 4696 5870 8218 11740 16436 20287 20545 23480 32872 40574 41090 81148 82180 101435 142009 162296 164360 202870 284018 405740 568036 710045 811480 1136072 1420090 2840180 5680360 11908469 23816938 47633876 59542345 83359283 95267752 119084690 166718566 238169380 333437132 416796415 476338760 666874264 833592830 1667185660 3334371320