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329061313 = 7237181501
BaseRepresentation
bin10011100111010…
…001001111000001
3211221012001021001
4103213101033001
51133214430223
652352532001
711103655300
oct2347211701
9757161231
10329061313
111598236a9
1292251001
1353234749
14319ba437
151dd4e9ad
hex139d13c1

329061313 has 12 divisors (see below), whose sum is σ = 393133332. Its totient is φ = 274428000.

The previous prime is 329061287. The next prime is 329061409. The reversal of 329061313 is 313160923.

It can be written as a sum of positive squares in 2 ways, for example, as 318872449 + 10188864 = 17857^2 + 3192^2 .

It is a de Polignac number, because none of the positive numbers 2k-329061313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329062313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88938 + ... + 92563.

It is an arithmetic number, because the mean of its divisors is an integer number (32761111).

Almost surely, 2329061313 is an apocalyptic number.

It is an amenable number.

329061313 is a deficient number, since it is larger than the sum of its proper divisors (64072019).

329061313 is a wasteful number, since it uses less digits than its factorization.

329061313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181552 (or 181545 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 329061313 is about 18140.0472160356. The cubic root of 329061313 is about 690.3864760620.

The spelling of 329061313 in words is "three hundred twenty-nine million, sixty-one thousand, three hundred thirteen".

Divisors: 1 7 37 49 259 1813 181501 1270507 6715537 8893549 47008759 329061313