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342543120 = 24353673889
BaseRepresentation
bin10100011010101…
…100101100010000
3212212112222211020
4110122230230100
51200142334440
653553515440
711326365663
oct2432545420
9785488736
10342543120
111663a1797
1296872b80
1355c7504a
14336c96da
15201143d0
hex146acb10

342543120 has 80 divisors (see below), whose sum is σ = 1065050880. Its totient is φ = 91072512.

The previous prime is 342543119. The next prime is 342543127. The reversal of 342543120 is 21345243.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (342543127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86136 + ... + 90024.

It is an arithmetic number, because the mean of its divisors is an integer number (13313136).

Almost surely, 2342543120 is an apocalyptic number.

342543120 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 342543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532525440).

342543120 is an abundant number, since it is smaller than the sum of its proper divisors (722507760).

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

342543120 is a wasteful number, since it uses less digits than its factorization.

342543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 342543120 is about 18507.9204666543. The cubic root of 342543120 is about 699.6890591791.

Adding to 342543120 its reverse (21345243), we get a palindrome (363888363).

The spelling of 342543120 in words is "three hundred forty-two million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 367 734 1101 1468 1835 2202 2936 3670 3889 4404 5505 5872 7340 7778 8808 11010 11667 14680 15556 17616 19445 22020 23334 29360 31112 38890 44040 46668 58335 62224 77780 88080 93336 116670 155560 186672 233340 311120 466680 933360 1427263 2854526 4281789 5709052 7136315 8563578 11418104 14272630 17127156 21408945 22836208 28545260 34254312 42817890 57090520 68508624 85635780 114181040 171271560 342543120