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343312140 = 223519401751
BaseRepresentation
bin10100011101101…
…000011100001100
3212221000001201110
4110131220130030
51200341442030
654022212020
711336051013
oct2435503414
9787001643
10343312140
11166877546
1296b84010
13561840a2
1433849a7a
15202171b0
hex1476870c

343312140 has 96 divisors (see below), whose sum is σ = 1015741440. Its totient is φ = 86400000.

The previous prime is 343312133. The next prime is 343312169. The reversal of 343312140 is 41213343.

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 31 ways as a sum of consecutive naturals, for example, 456765 + ... + 457515.

It is an arithmetic number, because the mean of its divisors is an integer number (10580640).

Almost surely, 2343312140 is an apocalyptic number.

343312140 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 343312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507870720).

343312140 is an abundant number, since it is smaller than the sum of its proper divisors (672429300).

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

343312140 is a wasteful number, since it uses less digits than its factorization.

343312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 343312140 is about 18528.6842490232. The cubic root of 343312140 is about 700.2122757567.

Adding to 343312140 its reverse (41213343), we get a palindrome (384525483).

The spelling of 343312140 in words is "three hundred forty-three million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 401 570 751 802 1140 1203 1502 1604 2005 2253 2406 3004 3755 4010 4506 4812 6015 7510 7619 8020 9012 11265 12030 14269 15020 15238 22530 22857 24060 28538 30476 38095 42807 45060 45714 57076 71345 76190 85614 91428 114285 142690 152380 171228 214035 228570 285380 301151 428070 457140 602302 856140 903453 1204604 1505755 1806906 3011510 3613812 4517265 5721869 6023020 9034530 11443738 17165607 18069060 22887476 28609345 34331214 57218690 68662428 85828035 114437380 171656070 343312140