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3144120 = 2335719197
BaseRepresentation
bin1011111111100110111000
312220201220220
423333212320
51301102440
6151220040
735503350
oct13774670
95821826
103144120
111858251
121077620
13861135
145bbb60
154218d0
hex2ff9b8

3144120 has 128 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 677376.

The previous prime is 3144091. The next prime is 3144137. The reversal of 3144120 is 214413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3144120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15862 + ... + 16058.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

Almost surely, 23144120 is an apocalyptic number.

3144120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

3144120 is an abundant number, since it is smaller than the sum of its proper divisors (8260680).

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

3144120 is a wasteful number, since it uses less digits than its factorization.

3144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3144120 is about 1773.1666588339. The cubic root of 3144120 is about 146.4984526933.

Adding to 3144120 its reverse (214413), we get a palindrome (3358533).

The spelling of 3144120 in words is "three million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 197 210 228 266 280 285 380 394 399 420 456 532 570 591 665 760 788 798 840 985 1064 1140 1182 1330 1379 1576 1596 1970 1995 2280 2364 2660 2758 2955 3192 3743 3940 3990 4137 4728 5320 5516 5910 6895 7486 7880 7980 8274 11032 11229 11820 13790 14972 15960 16548 18715 20685 22458 23640 26201 27580 29944 33096 37430 41370 44916 52402 55160 56145 74860 78603 82740 89832 104804 112290 131005 149720 157206 165480 209608 224580 262010 314412 393015 449160 524020 628824 786030 1048040 1572060 3144120