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319980349 = 13197391753
BaseRepresentation
bin10011000100101…
…000001100111101
3211022002200112001
4103010220030331
51123403332344
651430142301
710633534213
oct2304501475
9738080461
10319980349
11154690a77
128b1b1991
13513a52b0
14306d4cb3
151d158ed4
hex1312833d

319980349 has 16 divisors (see below), whose sum is σ = 363428800. Its totient is φ = 279282816.

The previous prime is 319980343. The next prime is 319980361. The reversal of 319980349 is 943089913.

It is a cyclic number.

It is not a de Polignac number, because 319980349 - 25 = 319980317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 319980299 and 319980308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319980343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181657 + ... + 183409.

It is an arithmetic number, because the mean of its divisors is an integer number (22714300).

Almost surely, 2319980349 is an apocalyptic number.

It is an amenable number.

319980349 is a deficient number, since it is larger than the sum of its proper divisors (43448451).

319980349 is a wasteful number, since it uses less digits than its factorization.

319980349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524.

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 319980349 is about 17887.9945494178. The cubic root of 319980349 is about 683.9763772435.

The spelling of 319980349 in words is "three hundred nineteen million, nine hundred eighty thousand, three hundred forty-nine".

Divisors: 1 13 19 247 739 1753 9607 14041 22789 33307 182533 432991 1295467 16841071 24613873 319980349