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3344985 = 325723741
BaseRepresentation
bin1100110000101001011001
320021221110100
430300221121
51324014420
6155410013
740301100
oct14605131
96257410
103344985
111985156
121153909
139016a7
14631037
15461190
hex330a59

3344985 has 72 divisors (see below), whose sum is σ = 7095816. Its totient is φ = 1451520.

The previous prime is 3344977. The next prime is 3344987. The reversal of 3344985 is 5894433.

It can be written as a sum of positive squares in 4 ways, for example, as 233289 + 3111696 = 483^2 + 1764^2 .

It is not a de Polignac number, because 3344985 - 23 = 3344977 is a prime.

It is a super-2 number, since 2×33449852 = 22377849300450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344987) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81565 + ... + 81605.

It is an arithmetic number, because the mean of its divisors is an integer number (98553).

Almost surely, 23344985 is an apocalyptic number.

3344985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3344985 is an abundant number, since it is smaller than the sum of its proper divisors (3750831).

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

3344985 is a wasteful number, since it uses less digits than its factorization.

3344985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3344985 is about 1828.9300150635. The cubic root of 3344985 is about 149.5540085920.

The spelling of 3344985 in words is "three million, three hundred forty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 37 41 45 49 63 105 111 123 147 185 205 245 259 287 315 333 369 441 555 615 735 777 861 1295 1435 1517 1665 1813 1845 2009 2205 2331 2583 3885 4305 4551 5439 6027 7585 9065 10045 10619 11655 12915 13653 16317 18081 22755 27195 30135 31857 53095 68265 74333 81585 90405 95571 159285 222999 371665 477855 668997 1114995 3344985