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342312144 = 2437131503
BaseRepresentation
bin10100011001110…
…100010011010000
3212212010020222120
4110121310103100
51200112442034
653544534240
711324414406
oct2431642320
9785106876
10342312144
111662541a9
1296781380
1355bc3b85
1433669476
15200bac49
hex146744d0

342312144 has 20 divisors (see below), whose sum is σ = 884306496. Its totient is φ = 114104032.

The previous prime is 342312101. The next prime is 342312149. The reversal of 342312144 is 441213243.

It is a super-3 number, since 3×3423121443 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342312149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3565704 + ... + 3565799.

Almost surely, 2342312144 is an apocalyptic number.

It is an amenable number.

342312144 is an abundant number, since it is smaller than the sum of its proper divisors (541994352).

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

342312144 is a wasteful number, since it uses less digits than its factorization.

342312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131514 (or 7131508 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 342312144 is about 18501.6794913327. The cubic root of 342312144 is about 699.5317576025.

Adding to 342312144 its reverse (441213243), we get a palindrome (783525387).

The spelling of 342312144 in words is "three hundred forty-two million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 7131503 14263006 21394509 28526012 42789018 57052024 85578036 114104048 171156072 342312144