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342066420 = 223251900369
BaseRepresentation
bin10100011000111…
…000010011110100
3212211122202220200
4110120320103310
51200032111140
653535400500
711322342123
oct2430702364
9784582820
10342066420
111660a6623
1296683130
1355b39087
1433603aba
152006d030
hex146384f4

342066420 has 36 divisors (see below), whose sum is σ = 1037602020. Its totient is φ = 91217664.

The previous prime is 342066409. The next prime is 342066433. The reversal of 342066420 is 24660243.

342066420 is a `hidden beast` number, since 34 + 206 + 6 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175191696 + 166874724 = 13236^2 + 12918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

342066420 is a modest number, since divided by 66420 gives 3420 as remainder.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 950005 + ... + 950364.

Almost surely, 2342066420 is an apocalyptic number.

342066420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342066420 is an abundant number, since it is smaller than the sum of its proper divisors (695535600).

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

342066420 is a wasteful number, since it uses less digits than its factorization.

342066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900384 (or 1900379 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 342066420 is about 18495.0377128569. The cubic root of 342066420 is about 699.3643344956.

The spelling of 342066420 in words is "three hundred forty-two million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1900369 3800738 5701107 7601476 9501845 11402214 17103321 19003690 22804428 28505535 34206642 38007380 57011070 68413284 85516605 114022140 171033210 342066420