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343800840 = 23352865007
BaseRepresentation
bin10100011111011…
…111110000001000
3212221220220002110
4110133133300020
51201003111330
654040502320
711343154545
oct2437376010
9787826073
10343800840
11167080729
129717a9a0
13562c5666
1433935bcc
15202b1db0
hex147dfc08

343800840 has 32 divisors (see below), whose sum is σ = 1031402880. Its totient is φ = 91680192.

The previous prime is 343800833. The next prime is 343800841. The reversal of 343800840 is 48008343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343800798 and 343800807.

It is not an unprimeable number, because it can be changed into a prime (343800841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1432384 + ... + 1432623.

It is an arithmetic number, because the mean of its divisors is an integer number (32231340).

Almost surely, 2343800840 is an apocalyptic number.

343800840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343800840 is an abundant number, since it is smaller than the sum of its proper divisors (687602040).

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

343800840 is a wasteful number, since it uses less digits than its factorization.

343800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865021 (or 2865017 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 343800840 is about 18541.8672198892. The cubic root of 343800840 is about 700.5443656716.

The spelling of 343800840 in words is "three hundred forty-three million, eight hundred thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2865007 5730014 8595021 11460028 14325035 17190042 22920056 28650070 34380084 42975105 57300140 68760168 85950210 114600280 171900420 343800840