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342343680 = 214357199
BaseRepresentation
bin10100011001111…
…100000000000000
3212212011212020120
4110121330000000
51200114444210
653545340240
711324605350
oct2431740000
9785155216
10342343680
11166275968
1296797680
1355c05333
1433676b60
15200c5270
hex1467c000

342343680 has 240 divisors, whose sum is σ = 1258252800. Its totient is φ = 77856768.

The previous prime is 342343667. The next prime is 342343697. The reversal of 342343680 is 86343243.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720221 + ... + 1720419.

It is an arithmetic number, because the mean of its divisors is an integer number (5242720).

Almost surely, 2342343680 is an apocalyptic number.

342343680 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 342343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629126400).

342343680 is an abundant number, since it is smaller than the sum of its proper divisors (915909120).

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

342343680 is an equidigital number, since it uses as much as digits as its factorization.

342343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 342343680 is about 18502.5317186595. The cubic root of 342343680 is about 699.5532387336.

The spelling of 342343680 in words is "three hundred forty-two million, three hundred forty-three thousand, six hundred eighty".