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3327345 = 33572503
BaseRepresentation
bin1100101100010101110001
320021001021000
430230111301
51322433340
6155152213
740165500
oct14542561
96231230
103327345
11197297a
121145669
138c6658
14628837
1545ad30
hex32c571

3327345 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1518048.

The previous prime is 3327329. The next prime is 3327347. The reversal of 3327345 is 5437233.

3327345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3327345 - 24 = 3327329 is a prime.

It is a super-2 number, since 2×33273452 = 22142449498050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 34 + 38 + 219 + 77 + 39 + 43 + 59 .

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3327347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6364 + ... + 6866.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23327345 is an apocalyptic number.

3327345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3327345 is an abundant number, since it is smaller than the sum of its proper divisors (3567375).

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

3327345 is a wasteful number, since it uses less digits than its factorization.

3327345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 3327345 is about 1824.1011485112. The cubic root of 3327345 is about 149.2906507790.

The spelling of 3327345 in words is "three million, three hundred twenty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 503 735 945 1323 1509 2205 2515 3521 4527 6615 7545 10563 13581 17605 22635 24647 31689 52815 67905 73941 95067 123235 158445 221823 369705 475335 665469 1109115 3327345