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346298085 = 3557192143
BaseRepresentation
bin10100101001000…
…001011011100101
3220010121202200000
4110221001123211
51202123014320
654210211513
711403325260
oct2451013345
9803552600
10346298085
11168526971
1297b83b99
135698b213
1433dc5cd7
1520606c90
hex14a416e5

346298085 has 96 divisors (see below), whose sum is σ = 749199360. Its totient is φ = 149905728.

The previous prime is 346298083. The next prime is 346298093. The reversal of 346298085 is 580892643.

It is not a de Polignac number, because 346298085 - 21 = 346298083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 346298085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346298083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160524 + ... + 162666.

It is an arithmetic number, because the mean of its divisors is an integer number (7804160).

Almost surely, 2346298085 is an apocalyptic number.

346298085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

346298085 is an abundant number, since it is smaller than the sum of its proper divisors (402901275).

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

346298085 is a wasteful number, since it uses less digits than its factorization.

346298085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 346298085 is about 18609.0860871780. The cubic root of 346298085 is about 702.2364423793.

The spelling of 346298085 in words is "three hundred forty-six million, two hundred ninety-eight thousand, eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 243 285 315 399 405 513 567 665 855 945 1197 1215 1539 1701 1995 2143 2565 2835 3591 4617 5985 6429 7695 8505 10715 10773 15001 17955 19287 23085 32145 32319 40717 45003 53865 57861 75005 96435 122151 135009 161595 173583 203585 225015 285019 289305 366453 405027 520749 610755 675045 855057 867915 1099359 1215081 1425095 1832265 2025135 2565171 2603745 3298077 3645243 4275285 5496795 6075405 7695513 9894231 12825855 16490385 18226215 23086539 38477565 49471155 69259617 115432695 346298085