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3143334120 = 23351011671553
BaseRepresentation
bin1011101101011011…
…0111100011101000
322010001201220210020
42323112313203220
522414143142440
61235524320440
7140615620263
oct27326674350
98101656706
103143334120
11137336a4a3
12738843120
133b12bb324
1421b677cda
15135e583d0
hexbb5b78e8

3143334120 has 128 divisors (see below), whose sum is σ = 9586563840. Its totient is φ = 824422400.

The previous prime is 3143334109. The next prime is 3143334199. The reversal of 3143334120 is 214333413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023264 + ... + 2024816.

It is an arithmetic number, because the mean of its divisors is an integer number (74895030).

Almost surely, 23143334120 is an apocalyptic number.

3143334120 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 3143334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793281920).

3143334120 is an abundant number, since it is smaller than the sum of its proper divisors (6443229720).

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

3143334120 is a wasteful number, since it uses less digits than its factorization.

3143334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3143334120 is about 56065.4449728173. Note that the first 3 decimals coincide. The cubic root of 3143334120 is about 1464.8624580149.

Adding to 3143334120 its reverse (214333413), we get a palindrome (3357667533).

The spelling of 3143334120 in words is "three billion, one hundred forty-three million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 167 202 303 334 404 501 505 606 668 808 835 1002 1010 1212 1336 1515 1553 1670 2004 2020 2424 2505 3030 3106 3340 4008 4040 4659 5010 6060 6212 6680 7765 9318 10020 12120 12424 15530 16867 18636 20040 23295 31060 33734 37272 46590 50601 62120 67468 84335 93180 101202 134936 156853 168670 186360 202404 253005 259351 313706 337340 404808 470559 506010 518702 627412 674680 778053 784265 941118 1012020 1037404 1254824 1296755 1556106 1568530 1882236 2024040 2074808 2352795 2593510 3112212 3137060 3764472 3890265 4705590 5187020 6224424 6274120 7780530 9411180 10374040 15561060 18822360 26194451 31122120 52388902 78583353 104777804 130972255 157166706 209555608 261944510 314333412 392916765 523889020 628666824 785833530 1047778040 1571667060 3143334120