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329936741 = 2933732
BaseRepresentation
bin10011101010100…
…110111101100101
3211222211112010022
4103222212331211
51133430433431
652423404525
711114262461
oct2352467545
9758745108
10329936741
1115a2713a2
12925b3745
1353480054
1431b674a1
151de7407b
hex13aa6f65

329936741 has 6 divisors (see below), whose sum is σ = 341415090. Its totient is φ = 318465168.

The previous prime is 329936699. The next prime is 329936773. The reversal of 329936741 is 147639923.

It can be written as a sum of positive squares in 3 ways, for example, as 258534241 + 71402500 = 16079^2 + 8450^2 .

It is a de Polignac number, because none of the positive numbers 2k-329936741 is a prime.

It is a Duffinian number.

Its product of digits (244944) is a multiple of the sum of its prime divisors (3402).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 329936692 and 329936701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329932741) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 96131 + ... + 99503.

It is an arithmetic number, because the mean of its divisors is an integer number (56902515).

Almost surely, 2329936741 is an apocalyptic number.

It is an amenable number.

329936741 is a deficient number, since it is larger than the sum of its proper divisors (11478349).

329936741 is an frugal number, since it uses more digits than its factorization.

329936741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 3402 counting only the distinct ones).

The product of its digits is 244944, while the sum is 44.

The square root of 329936741 is about 18164.1608944647. The cubic root of 329936741 is about 690.9981639709.

The spelling of 329936741 in words is "three hundred twenty-nine million, nine hundred thirty-six thousand, seven hundred forty-one".

Divisors: 1 29 3373 97817 11377129 329936741