Search a number
-
+
3305211320 = 2352331115891
BaseRepresentation
bin1100010100000001…
…1000010110111000
322112100100010120002
43011000120112320
523232113230240
61303550052132
7144622555415
oct30500302670
98470303502
103305211320
111446784204
12782aaa048
134089b8358
14234d7510c
15145281d15
hexc50185b8

3305211320 has 64 divisors (see below), whose sum is σ = 8010455040. Its totient is φ = 1223798400.

The previous prime is 3305211319. The next prime is 3305211323. The reversal of 3305211320 is 231125033.

It is a super-2 number, since 2×33052113202 = 21848843739712284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3305211292 and 3305211301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305211323) 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, 29426 + ... + 86465.

It is an arithmetic number, because the mean of its divisors is an integer number (125163360).

Almost surely, 23305211320 is an apocalyptic number.

It is an amenable number.

3305211320 is an abundant number, since it is smaller than the sum of its proper divisors (4705243720).

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

3305211320 is a wasteful number, since it uses less digits than its factorization.

3305211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115956 (or 115952 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 3305211320 is about 57490.9672905231. The cubic root of 3305211320 is about 1489.5888420059.

Adding to 3305211320 its reverse (231125033), we get a palindrome (3536336353).

The spelling of 3305211320 in words is "three billion, three hundred five million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1426 2852 3565 5704 7130 14260 28520 115891 231782 463564 579455 927128 1158910 2317820 2665493 3592621 4635640 5330986 7185242 10661972 13327465 14370484 17963105 21323944 26654930 28740968 35926210 53309860 71852420 82630283 106619720 143704840 165260566 330521132 413151415 661042264 826302830 1652605660 3305211320