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337352085 = 32572394481
BaseRepresentation
bin10100000110111…
…001010110010101
3212111210021001200
4110012321112111
51142330231320
653250343113
711234305530
oct2406712625
9774707050
10337352085
11163476684
1294b8aa99
1354b78325
1432b37a17
151e93b290
hex141b9595

337352085 has 48 divisors (see below), whose sum is σ = 671224320. Its totient is φ = 153538560.

The previous prime is 337352083. The next prime is 337352101. The reversal of 337352085 is 580253733.

It is not a de Polignac number, because 337352085 - 21 = 337352083 is a prime.

It is a super-2 number, since 2×3373520852 = 227612858507694450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337352083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73045 + ... + 77525.

It is an arithmetic number, because the mean of its divisors is an integer number (13983840).

Almost surely, 2337352085 is an apocalyptic number.

337352085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

337352085 is a deficient number, since it is larger than the sum of its proper divisors (333872235).

337352085 is a wasteful number, since it uses less digits than its factorization.

337352085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 337352085 is about 18367.1468932984. The cubic root of 337352085 is about 696.1365974959.

The spelling of 337352085 in words is "three hundred thirty-seven million, three hundred fifty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 239 315 717 1195 1673 2151 3585 4481 5019 8365 10755 13443 15057 22405 25095 31367 40329 67215 75285 94101 156835 201645 282303 470505 1070959 1411515 3212877 5354795 7496713 9638631 16064385 22490139 37483565 48193155 67470417 112450695 337352085