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319661130 = 235192337659
BaseRepresentation
bin10011000011011…
…010010001001010
3211021111110122010
4103003122101022
51123313124010
651415240350
710631034435
oct2303322112
9737443563
10319661130
11154493158
128b0790b6
13512c2bc9
143065081c
151d0e4620
hex130da44a

319661130 has 128 divisors (see below), whose sum is σ = 866764800. Its totient is φ = 75043584.

The previous prime is 319661071. The next prime is 319661143. The reversal of 319661130 is 31166913.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484741 + ... + 485399.

It is an arithmetic number, because the mean of its divisors is an integer number (6771600).

Almost surely, 2319661130 is an apocalyptic number.

319661130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 319661130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433382400).

319661130 is an abundant number, since it is smaller than the sum of its proper divisors (547103670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

319661130 is a wasteful number, since it uses less digits than its factorization.

319661130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 319661130 is about 17879.0696066658. The cubic root of 319661130 is about 683.7488519154.

The spelling of 319661130 in words is "three hundred nineteen million, six hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 37 38 46 57 69 74 95 111 114 115 138 185 190 222 230 285 345 370 437 555 570 659 690 703 851 874 1110 1311 1318 1406 1702 1977 2109 2185 2553 2622 3295 3515 3954 4218 4255 4370 5106 6555 6590 7030 8510 9885 10545 12521 12765 13110 15157 16169 19770 21090 24383 25042 25530 30314 32338 37563 45471 48507 48766 62605 73149 75126 75785 80845 90942 97014 121915 125210 146298 151570 161690 187815 227355 242535 243830 287983 365745 375630 454710 463277 485070 560809 575966 731490 863949 926554 1121618 1389831 1439915 1682427 1727898 2316385 2779662 2804045 2879830 3364854 4319745 4632770 5608090 6949155 8412135 8639490 10655371 13898310 16824270 21310742 31966113 53276855 63932226 106553710 159830565 319661130