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326812080 = 243571711443
BaseRepresentation
bin10011011110101…
…100000110110000
3211202221202220010
4103132230012300
51132130441310
652232414520
711045566620
oct2336540660
9752852803
10326812080
11158527831
1291547440
1352927a3a
1431592880
151da58320
hex137ac1b0

326812080 has 160 divisors (see below), whose sum is σ = 1226064384. Its totient is φ = 70299648.

The previous prime is 326812069. The next prime is 326812081. The reversal of 326812080 is 80218623.

It is a super-2 number, since 2×3268120802 = 213612271267852800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (326812081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22839 + ... + 34281.

Almost surely, 2326812080 is an apocalyptic number.

326812080 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 326812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613032192).

326812080 is an abundant number, since it is smaller than the sum of its proper divisors (899252304).

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

326812080 is a wasteful number, since it uses less digits than its factorization.

326812080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11483 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 326812080 is about 18077.9445734298. The cubic root of 326812080 is about 688.8098787097.

The spelling of 326812080 in words is "three hundred twenty-six million, eight hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 11443 14280 22886 28560 34329 45772 57215 68658 80101 91544 114430 137316 160202 171645 183088 194531 228860 240303 274632 320404 343290 389062 400505 457720 480606 549264 583593 640808 686580 778124 801010 915440 961212 972655 1167186 1201515 1281616 1361717 1373160 1556248 1602020 1922424 1945310 2334372 2403030 2723434 2746320 2917965 3112496 3204040 3844848 3890620 4085151 4668744 4806060 5446868 5835930 6408080 6808585 7781240 8170302 9337488 9612120 10893736 11671860 13617170 15562480 16340604 19224240 20425755 21787472 23343720 27234340 32681208 40851510 46687440 54468680 65362416 81703020 108937360 163406040 326812080