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383342085 = 33572331741
BaseRepresentation
bin10110110110010…
…101011000000101
3222201022210111000
4112312111120011
51241113421320
6102012203513
712333232260
oct2666253005
9881283430
10383342085
11187428645
12a8469599
136155b449
1438ca9cd7
15239c2c90
hex16d95605

383342085 has 64 divisors (see below), whose sum is σ = 782645760. Its totient is φ = 174389760.

The previous prime is 383342083. The next prime is 383342093. The reversal of 383342085 is 580243383.

It is not a de Polignac number, because 383342085 - 21 = 383342083 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383342083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219315 + ... + 221055.

It is an arithmetic number, because the mean of its divisors is an integer number (12228840).

Almost surely, 2383342085 is an apocalyptic number.

383342085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

383342085 is an abundant number, since it is smaller than the sum of its proper divisors (399303675).

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

383342085 is a wasteful number, since it uses less digits than its factorization.

383342085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 383342085 is about 19579.1237035777. The cubic root of 383342085 is about 726.4328918864.

The spelling of 383342085 in words is "three hundred eighty-three million, three hundred forty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 233 315 699 945 1165 1631 1741 2097 3495 4893 5223 6291 8155 8705 10485 12187 14679 15669 24465 26115 31455 36561 44037 47007 60935 73395 78345 109683 182805 220185 235035 329049 405653 548415 1216959 1645245 2028265 2839571 3650877 6084795 8518713 10952631 14197855 18254385 25556139 42593565 54763155 76668417 127780695 383342085