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411000345 = 3357434921
BaseRepresentation
bin11000011111110…
…101111000011001
31001122100222111000
4120133311320121
51320204002340
6104441055213
713120305510
oct3037657031
91048328430
10411000345
111a0aa9708
12b5787509
13671c3592
143c829677
1526137d30
hex187f5e19

411000345 has 32 divisors (see below), whose sum is σ = 835050240. Its totient is φ = 187885440.

The previous prime is 411000341. The next prime is 411000353. The reversal of 411000345 is 543000114.

It is a happy number.

It is not a de Polignac number, because 411000345 - 22 = 411000341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (411000341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216516 + ... + 218405.

It is an arithmetic number, because the mean of its divisors is an integer number (26095320).

Almost surely, 2411000345 is an apocalyptic number.

411000345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

411000345 is an abundant number, since it is smaller than the sum of its proper divisors (424049895).

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

411000345 is a wasteful number, since it uses less digits than its factorization.

411000345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434942 (or 434936 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 411000345 is about 20273.1434415090. The cubic root of 411000345 is about 743.4995821966.

Adding to 411000345 its reverse (543000114), we get a palindrome (954000459).

The spelling of 411000345 in words is "four hundred eleven million, three hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 434921 1304763 2174605 3044447 3914289 6523815 9133341 11742867 15222235 19571445 27400023 45666705 58714335 82200069 137000115 411000345