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319191345 = 32511231261
BaseRepresentation
bin10011000001100…
…111100100110001
3211020121121012200
4103001213210301
51123203110340
651401213413
710624040004
oct2301474461
9736547180
10319191345
111541a2200
128aa91269
135118a125
143056b53b
151d050330
hex13067931

319191345 has 108 divisors (see below), whose sum is σ = 638685684. Its totient is φ = 147312000.

The previous prime is 319191343. The next prime is 319191347. The reversal of 319191345 is 543191913.

It is an interprime number because it is at equal distance from previous prime (319191343) and next prime (319191347).

It can be written as a sum of positive squares in 2 ways, for example, as 51279921 + 267911424 = 7161^2 + 16368^2 .

It is not a de Polignac number, because 319191345 - 21 = 319191343 is a prime.

It is a super-2 number, since 2×3191913452 = 203766229445818050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (319191343) 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 107 ways as a sum of consecutive naturals, for example, 5232615 + ... + 5232675.

Almost surely, 2319191345 is an apocalyptic number.

It is an amenable number.

319191345 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

319191345 is a wasteful number, since it uses less digits than its factorization.

319191345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 111 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 319191345 is about 17865.9269280942. The cubic root of 319191345 is about 683.4137340786.

The spelling of 319191345 in words is "three hundred nineteen million, one hundred ninety-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 61 93 99 121 155 165 183 279 305 341 363 465 495 549 605 671 915 961 1023 1089 1395 1705 1815 1891 2013 2745 2883 3069 3355 3751 4805 5115 5445 5673 6039 7381 8649 9455 10065 10571 11253 14415 15345 17019 18755 20801 22143 28365 30195 31713 33759 36905 43245 52855 56265 58621 62403 66429 85095 95139 104005 110715 116281 158565 168795 175863 187209 228811 293105 312015 332145 348843 475695 527589 581405 644831 686433 879315 936045 1046529 1144055 1744215 1934493 2059299 2637945 3224155 3432165 5232645 5803479 7093141 9672465 10296495 21279423 29017395 35465705 63838269 106397115 319191345