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329485 = 51337137
BaseRepresentation
bin1010000011100001101
3121201222011
41100130031
541020420
611021221
72541412
oct1203415
9551864
10329485
11205602
1213a811
13b6c80
1488109
156795a
hex5070d

329485 has 16 divisors (see below), whose sum is σ = 440496. Its totient is φ = 235008.

The previous prime is 329473. The next prime is 329489. The reversal of 329485 is 584923.

329485 = T110 + T111 + ... + T148.

It can be written as a sum of positive squares in 8 ways, for example, as 9 + 329476 = 3^2 + 574^2 .

It is a cyclic number.

It is not a de Polignac number, because 329485 - 217 = 198413 is a prime.

It is a d-powerful number, because it can be written as 33 + 216 + 45 + 93 + 86 + 52 .

It is a Duffinian number.

Its product of digits (8640) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 2473.

It is an arithmetic number, because the mean of its divisors is an integer number (27531).

2329485 is an apocalyptic number.

It is an amenable number.

329485 is a deficient number, since it is larger than the sum of its proper divisors (111011).

329485 is a wasteful number, since it uses less digits than its factorization.

329485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 8640, while the sum is 31.

The square root of 329485 is about 574.0078396677. The cubic root of 329485 is about 69.0682654223.

The spelling of 329485 in words is "three hundred twenty-nine thousand, four hundred eighty-five".

Divisors: 1 5 13 37 65 137 185 481 685 1781 2405 5069 8905 25345 65897 329485