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342317280 = 253523101307
BaseRepresentation
bin10100011001110…
…101100011100000
3212212010112000210
4110121311203200
51200113123110
653545014120
711324435364
oct2431654340
9785115023
10342317280
11166258048
1296784340
1355bc6306
143366b2a4
15200bc520
hex146758e0

342317280 has 192 divisors, whose sum is σ = 1140023808. Its totient is φ = 86169600.

The previous prime is 342317263. The next prime is 342317317. The reversal of 342317280 is 82713243.

342317280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3423172802 = 234362240373196800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 1114887 + ... + 1115193.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2342317280 is an apocalyptic number.

342317280 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 342317280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570011904).

342317280 is an abundant number, since it is smaller than the sum of its proper divisors (797706528).

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

342317280 is a wasteful number, since it uses less digits than its factorization.

342317280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 342317280 is about 18501.8182890223. The cubic root of 342317280 is about 699.5352561415.

The spelling of 342317280 in words is "three hundred forty-two million, three hundred seventeen thousand, two hundred eighty".