Search a number
-
+
3143360 = 265111947
BaseRepresentation
bin1011111111011011000000
312220200212202
423333123000
51301041420
6151212332
735501213
oct13773300
95820782
103143360
111857720
1210770a8
1386099c
145bb77a
15421575
hex2ff6c0

3143360 has 112 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 1059840.

The previous prime is 3143353. The next prime is 3143389. The reversal of 3143360 is 633413.

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

It is an unprimeable number.

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, 66857 + ... + 66903.

Almost surely, 23143360 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 3143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

3143360 is an abundant number, since it is smaller than the sum of its proper divisors (5634880).

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

3143360 is a wasteful number, since it uses less digits than its factorization.

3143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3143360 is about 1772.9523400250. The cubic root of 3143360 is about 146.4866478219.

Adding to 3143360 its reverse (633413), we get a palindrome (3776773).

The spelling of 3143360 in words is "three million, one hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 47 55 64 76 80 88 94 95 110 152 160 176 188 190 209 220 235 304 320 352 376 380 418 440 470 517 608 704 752 760 836 880 893 940 1034 1045 1216 1504 1520 1672 1760 1786 1880 2068 2090 2585 3008 3040 3344 3520 3572 3760 4136 4180 4465 5170 6080 6688 7144 7520 8272 8360 8930 9823 10340 13376 14288 15040 16544 16720 17860 19646 20680 28576 33088 33440 35720 39292 41360 49115 57152 66880 71440 78584 82720 98230 142880 157168 165440 196460 285760 314336 392920 628672 785840 1571680 3143360