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327470040 = 23345531907
BaseRepresentation
bin10011100001001…
…100101111011000
3211211012012110000
4103201030233120
51132313020130
652254453000
711054310102
oct2341145730
9754165400
10327470040
111589370a7
1291804160
1352ac8371
14316c4572
151db38260
hex1384cbd8

327470040 has 160 divisors (see below), whose sum is σ = 1122018480. Its totient is φ = 85632768.

The previous prime is 327470029. The next prime is 327470051. The reversal of 327470040 is 40074723.

It is an interprime number because it is at equal distance from previous prime (327470029) and next prime (327470051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 327469986 and 327470013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170767 + ... + 172673.

Almost surely, 2327470040 is an apocalyptic number.

327470040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327470040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561009240).

327470040 is an abundant number, since it is smaller than the sum of its proper divisors (794548440).

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

327470040 is a wasteful number, since it uses less digits than its factorization.

327470040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 327470040 is about 18096.1332886338. The cubic root of 327470040 is about 689.2718215931.

The spelling of 327470040 in words is "three hundred twenty-seven million, four hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1590 1620 1907 1908 2120 2385 2862 3180 3240 3814 3816 4293 4770 5721 5724 6360 7155 7628 8586 9535 9540 11442 11448 14310 15256 17163 17172 19070 19080 21465 22884 28605 28620 34326 34344 38140 42930 45768 51489 57210 57240 68652 76280 85815 85860 101071 102978 114420 137304 154467 171630 171720 202142 205956 228840 257445 303213 308934 343260 404284 411912 505355 514890 606426 617868 686520 772335 808568 909639 1010710 1029780 1212852 1235736 1516065 1544670 1819278 2021420 2059560 2425704 2728917 3032130 3089340 3638556 4042840 4548195 5457834 6064260 6178680 7277112 8186751 9096390 10915668 12128520 13644585 16373502 18192780 21831336 27289170 32747004 36385560 40933755 54578340 65494008 81867510 109156680 163735020 327470040