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329448805 = 5729411429
BaseRepresentation
bin10011101000101…
…111110101100101
3211221220201210121
4103220233311211
51133314330210
652405121541
711110161100
oct2350576545
9757821717
10329448805
11159a68844
12923b92b1
135333bc2a
1431a7b737
151ddc96da
hex13a2fd65

329448805 has 24 divisors (see below), whose sum is σ = 460694520. Its totient is φ = 225509760.

The previous prime is 329448793. The next prime is 329448839. The reversal of 329448805 is 508844923.

It can be written as a sum of positive squares in 4 ways, for example, as 4800481 + 324648324 = 2191^2 + 18018^2 .

It is not a de Polignac number, because 329448805 - 25 = 329448773 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229831 + ... + 231259.

It is an arithmetic number, because the mean of its divisors is an integer number (19195605).

Almost surely, 2329448805 is an apocalyptic number.

329448805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

329448805 is a deficient number, since it is larger than the sum of its proper divisors (131245715).

329448805 is a wasteful number, since it uses less digits than its factorization.

329448805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 329448805 is about 18150.7246411817. The cubic root of 329448805 is about 690.6573620510.

The spelling of 329448805 in words is "three hundred twenty-nine million, four hundred forty-eight thousand, eight hundred five".

Divisors: 1 5 7 35 49 245 941 1429 4705 6587 7145 10003 32935 46109 50015 70021 230545 350105 1344689 6723445 9412823 47064115 65889761 329448805