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342075300 = 2235272941137
BaseRepresentation
bin10100011000111…
…010011110100100
3212211200020002120
4110120322132210
51200032402200
653535505540
711322410040
oct2430723644
9784606076
10342075300
11166102266
12966882b0
1355b40128
1433607020
15200709a0
hex1463a7a4

342075300 has 288 divisors, whose sum is σ = 1207422720. Its totient is φ = 73113600.

The previous prime is 342075233. The next prime is 342075311. The reversal of 342075300 is 3570243.

It is a super-3 number, since 3×3420753003 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2496832 + ... + 2496968.

It is an arithmetic number, because the mean of its divisors is an integer number (4192440).

Almost surely, 2342075300 is an apocalyptic number.

342075300 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 342075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603711360).

342075300 is an abundant number, since it is smaller than the sum of its proper divisors (865347420).

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

342075300 is a wasteful number, since it uses less digits than its factorization.

342075300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 342075300 is about 18495.2777756918. The cubic root of 342075300 is about 699.3703862458.

The spelling of 342075300 in words is "three hundred forty-two million, seventy-five thousand, three hundred".