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343010040 = 2335192331211
BaseRepresentation
bin10100011100011…
…110101011111000
3212220102201022120
4110130132223320
51200302310130
654011521240
711333352162
oct2434365370
9786381276
10343010040
1116669057a
1296a59220
13560a9729
14337ab932
15201a7910
hex1471eaf8

343010040 has 256 divisors, whose sum is σ = 1172275200. Its totient is φ = 79833600.

The previous prime is 343009987. The next prime is 343010047. The reversal of 343010040 is 40010343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343010047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1625535 + ... + 1625745.

It is an arithmetic number, because the mean of its divisors is an integer number (4579200).

Almost surely, 2343010040 is an apocalyptic number.

343010040 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 343010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586137600).

343010040 is an abundant number, since it is smaller than the sum of its proper divisors (829265160).

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

343010040 is a wasteful number, since it uses less digits than its factorization.

343010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 343010040 is about 18520.5302299907. The cubic root of 343010040 is about 700.0068298653.

Adding to 343010040 its reverse (40010343), we get a palindrome (383020383).

The spelling of 343010040 in words is "three hundred forty-three million, ten thousand, forty".