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345400000 = 265511157
BaseRepresentation
bin10100100101100…
…110001011000000
3220001221010201121
4110211212023000
51201410300000
654135042024
711362565041
oct2445461300
9801833647
10345400000
11167a73150
1297810314
13567354ca
1433c308c8
15204cab1a
hex149662c0

345400000 has 168 divisors, whose sum is σ = 940533552. Its totient is φ = 124800000.

The previous prime is 345399991. The next prime is 345400001. The reversal of 345400000 is 4543.

345400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (345400001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2199922 + ... + 2200078.

It is an arithmetic number, because the mean of its divisors is an integer number (5598414).

Almost surely, 2345400000 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 345400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470266776).

345400000 is an abundant number, since it is smaller than the sum of its proper divisors (595133552).

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

345400000 is an equidigital number, since it uses as much as digits as its factorization.

345400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 345400000 is about 18584.9401398014. The cubic root of 345400000 is about 701.6288598578.

Adding to 345400000 its reverse (4543), we get a palindrome (345404543).

The spelling of 345400000 in words is "three hundred forty-five million, four hundred thousand".