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327089620 = 2251121337281
BaseRepresentation
bin10011011111101…
…111110111010100
3211210110212121101
4103133233313110
51132213331440
652242355444
711051134024
oct2337576724
9753425541
10327089620
111586a7300
129165bb84
13529c4170
1431625a84
151dab069a
hex137efdd4

327089620 has 144 divisors (see below), whose sum is σ = 838034064. Its totient is φ = 106444800.

The previous prime is 327089603. The next prime is 327089621. The reversal of 327089620 is 26980723.

It can be written as a sum of positive squares in 8 ways, for example, as 853776 + 326235844 = 924^2 + 18062^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 327089620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327089621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163880 + ... + 1164160.

It is an arithmetic number, because the mean of its divisors is an integer number (5819681).

Almost surely, 2327089620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327089620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419017032).

327089620 is an abundant number, since it is smaller than the sum of its proper divisors (510944444).

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

327089620 is a wasteful number, since it uses less digits than its factorization.

327089620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 327089620 is about 18085.6191489260. The cubic root of 327089620 is about 689.0048105113.

The spelling of 327089620 in words is "three hundred twenty-seven million, eighty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 121 130 143 148 185 220 242 260 281 286 370 407 481 484 562 572 605 715 740 814 962 1124 1210 1405 1430 1573 1628 1924 2035 2405 2420 2810 2860 3091 3146 3653 4070 4477 4810 5291 5620 6182 6292 7306 7865 8140 8954 9620 10397 10582 12364 14612 15455 15730 17908 18265 20794 21164 22385 26455 30910 31460 34001 36530 40183 41588 44770 51985 52910 58201 61820 68002 73060 80366 89540 103970 105820 114367 116402 135161 136004 160732 170005 200915 207940 228734 232804 270322 291005 340010 401830 442013 457468 540644 571835 582010 675805 680020 803660 884026 1143670 1164020 1258037 1351610 1486771 1768052 2210065 2287340 2516074 2703220 2973542 4420130 5032148 5947084 6290185 7433855 8840260 12580370 14867710 16354481 25160740 29735420 32708962 65417924 81772405 163544810 327089620