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342096400 = 2452855241
BaseRepresentation
bin10100011000111…
…111101000010000
3212211201022001001
4110120333220100
51200034041100
653540151344
711322525412
oct2430775020
9784638031
10342096400
111661170a8
1296698554
1355b49909
14336109b2
1520076d6a
hex1463fa10

342096400 has 30 divisors (see below), whose sum is σ = 821887562. Its totient is φ = 136838400.

The previous prime is 342096379. The next prime is 342096407. The reversal of 342096400 is 4690243.

342096400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 59721984 + 282374416 = 7728^2 + 16804^2 .

It is not an unprimeable number, because it can be changed into a prime (342096407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427221 + ... + 428020.

Almost surely, 2342096400 is an apocalyptic number.

It is an amenable number.

342096400 is an abundant number, since it is smaller than the sum of its proper divisors (479791162).

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

342096400 is a wasteful number, since it uses less digits than its factorization.

342096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855259 (or 855248 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 342096400 is about 18495.8481827679. The cubic root of 342096400 is about 699.3847655474.

The spelling of 342096400 in words is "three hundred forty-two million, ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 855241 1710482 3420964 4276205 6841928 8552410 13683856 17104820 21381025 34209640 42762050 68419280 85524100 171048200 342096400