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342539400 = 233527261191
BaseRepresentation
bin10100011010101…
…011110010001000
3212212112210201110
4110122223302020
51200142230100
653553450320
711326352100
oct2432536210
9785483643
10342539400
11166399a15
12968709a0
1355c73448
14336c8200
1520113250
hex146abc88

342539400 has 288 divisors, whose sum is σ = 1262062080. Its totient is φ = 76608000.

The previous prime is 342539383. The next prime is 342539401. The reversal of 342539400 is 4935243.

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

It is not an unprimeable number, because it can be changed into a prime (342539401) 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 71 ways as a sum of consecutive naturals, for example, 1793305 + ... + 1793495.

It is an arithmetic number, because the mean of its divisors is an integer number (4382160).

Almost surely, 2342539400 is an apocalyptic number.

342539400 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 342539400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631031040).

342539400 is an abundant number, since it is smaller than the sum of its proper divisors (919522680).

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

342539400 is a wasteful number, since it uses less digits than its factorization.

342539400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 342539400 is about 18507.8199688672. The cubic root of 342539400 is about 699.6865263080.

The spelling of 342539400 in words is "three hundred forty-two million, five hundred thirty-nine thousand, four hundred".