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343131140 = 2251112712281
BaseRepresentation
bin10100011100111…
…100010000000100
3212220122212102202
4110130330100010
51200320144030
654014254032
711334365222
oct2434742004
9786585382
10343131140
11166763560
1296ab7318
135611c8a1
14337ddb12
15201cd745
hex1473c404

343131140 has 48 divisors (see below), whose sum is σ = 792336384. Its totient is φ = 123782400.

The previous prime is 343131133. The next prime is 343131209. The reversal of 343131140 is 41131343.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21800 + ... + 34080.

It is an arithmetic number, because the mean of its divisors is an integer number (16507008).

Almost surely, 2343131140 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 343131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396168192).

343131140 is an abundant number, since it is smaller than the sum of its proper divisors (449205244).

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

343131140 is a wasteful number, since it uses less digits than its factorization.

343131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12428 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 343131140 is about 18523.7992863235. The cubic root of 343131140 is about 700.0891995174.

Adding to 343131140 its reverse (41131343), we get a palindrome (384262483).

It can be divided in two parts, 34313 and 1140, that added together give a palindrome (35453).

The spelling of 343131140 in words is "three hundred forty-three million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 12281 13970 24562 27940 49124 61405 122810 135091 245620 270182 540364 675455 1350910 1559687 2701820 3119374 6238748 7798435 15596870 17156557 31193740 34313114 68626228 85782785 171565570 343131140