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343314020 = 225712719309
BaseRepresentation
bin10100011101101…
…000111001100100
3212221000011022002
4110131220321210
51200342022040
654022224432
711336056340
oct2435507144
9787004262
10343314020
111668789a5
1296b85118
1356184bba
143384a620
1520217a15
hex14768e64

343314020 has 48 divisors (see below), whose sum is σ = 830484480. Its totient is φ = 116774784.

The previous prime is 343314017. The next prime is 343314047. The reversal of 343314020 is 20413343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 343313983 and 343314001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8126 + ... + 27434.

It is an arithmetic number, because the mean of its divisors is an integer number (17301760).

Almost surely, 2343314020 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 343314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415242240).

343314020 is an abundant number, since it is smaller than the sum of its proper divisors (487170460).

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

343314020 is a wasteful number, since it uses less digits than its factorization.

343314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19452 (or 19450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 343314020 is about 18528.7349811043. The cubic root of 343314020 is about 700.2135538906.

Adding to 343314020 its reverse (20413343), we get a palindrome (363727363).

The spelling of 343314020 in words is "three hundred forty-three million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2540 3556 4445 8890 17780 19309 38618 77236 96545 135163 193090 270326 386180 540652 675815 1351630 2452243 2703260 4904486 9808972 12261215 17165701 24522430 34331402 49044860 68662804 85828505 171657010 343314020