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319514241 = 3192312307
BaseRepresentation
bin10011000010110…
…110011010000001
3211021020000010210
4103002312122001
51123243423431
651412144333
710626553254
oct2302663201
9737200123
10319514241
111543a2862
128b0080a9
13512710a7
143061309b
151d0b5d46
hex130b6681

319514241 has 36 divisors (see below), whose sum is σ = 466106256. Its totient is φ = 194652720.

The previous prime is 319514231. The next prime is 319514243. The reversal of 319514241 is 142415913.

It is not a de Polignac number, because 319514241 - 225 = 285959809 is a prime.

Its product of digits (4320) is a multiple of the sum of its prime divisors (360).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 319514199 and 319514208.

It is not an unprimeable number, because it can be changed into a prime (319514243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1040610 + ... + 1040916.

It is an arithmetic number, because the mean of its divisors is an integer number (12947396).

Almost surely, 2319514241 is an apocalyptic number.

319514241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

319514241 is a deficient number, since it is larger than the sum of its proper divisors (146592015).

319514241 is a wasteful number, since it uses less digits than its factorization.

319514241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 360 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 319514241 is about 17874.9612866714. The cubic root of 319514241 is about 683.6441049783.

The spelling of 319514241 in words is "three hundred nineteen million, five hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 19 31 57 93 307 361 589 921 961 1083 1767 2883 5833 9517 11191 17499 18259 28551 33573 54777 110827 180823 295027 332481 346921 542469 885081 1040763 3435637 5605513 10306911 16816539 106504747 319514241