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342225135 = 3357362143
BaseRepresentation
bin10100011001011…
…111000011101111
3212211221211122000
4110121133003233
51200102201020
653543023343
711323602630
oct2431370357
9784854560
10342225135
111661a489a
129673ab53
1355b933a5
1433645887
15200a0090
hex1465f0ef

342225135 has 32 divisors (see below), whose sum is σ = 695316480. Its totient is φ = 156445344.

The previous prime is 342225101. The next prime is 342225161. The reversal of 342225135 is 531522243.

It is a happy number.

It is not a de Polignac number, because 342225135 - 210 = 342224111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342225099 and 342225108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180127 + ... + 182016.

It is an arithmetic number, because the mean of its divisors is an integer number (21728640).

Almost surely, 2342225135 is an apocalyptic number.

342225135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

342225135 is an abundant number, since it is smaller than the sum of its proper divisors (353091345).

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

342225135 is a wasteful number, since it uses less digits than its factorization.

342225135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362164 (or 362158 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 342225135 is about 18499.3279607666. The cubic root of 342225135 is about 699.4724835185.

Adding to 342225135 its reverse (531522243), we get a palindrome (873747378).

The spelling of 342225135 in words is "three hundred forty-two million, two hundred twenty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 362143 1086429 1810715 2535001 3259287 5432145 7605003 9777861 12675005 16296435 22815009 38025015 48889305 68445027 114075045 342225135