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343314140 = 225132415479
BaseRepresentation
bin10100011101101…
…000111011011100
3212221000011110112
4110131220323130
51200342023030
654022225152
711336056601
oct2435507334
9787004415
10343314140
11166878aa4
1296b851b8
1356184c80
143384a6a8
1520217a95
hex14768edc

343314140 has 48 divisors (see below), whose sum is σ = 779782080. Its totient is φ = 126213120.

The previous prime is 343314131. The next prime is 343314143. The reversal of 343314140 is 41413343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343314143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59921 + ... + 65399.

It is an arithmetic number, because the mean of its divisors is an integer number (16245460).

Almost surely, 2343314140 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 343314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389891040).

343314140 is an abundant number, since it is smaller than the sum of its proper divisors (436467940).

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

343314140 is a wasteful number, since it uses less digits than its factorization.

343314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 343314140 is about 18528.7382193176. The cubic root of 343314140 is about 700.2136354735.

Adding to 343314140 its reverse (41413343), we get a palindrome (384727483).

The spelling of 343314140 in words is "three hundred forty-three million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 964 1205 2410 3133 4820 5479 6266 10958 12532 15665 21916 27395 31330 54790 62660 71227 109580 142454 284908 356135 712270 1320439 1424540 2640878 5281756 6602195 13204390 17165707 26408780 34331414 68662828 85828535 171657070 343314140