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328917060 = 223252696793
BaseRepresentation
bin10011100110101…
…110000001000100
3211220220201101100
4103212232001010
51133200321220
652345500100
711102514603
oct2346560104
9756821340
10328917060
1115973528a
12921a1630
13531b3ba4
143197da3a
151dd21d90
hex139ae044

328917060 has 72 divisors (see below), whose sum is σ = 1001571480. Its totient is φ = 87372288.

The previous prime is 328917059. The next prime is 328917073. The reversal of 328917060 is 60719823.

328917060 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 319479876 = 3072^2 + 17874^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

328917060 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45024 + ... + 51816.

It is an arithmetic number, because the mean of its divisors is an integer number (13910715).

Almost surely, 2328917060 is an apocalyptic number.

328917060 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 328917060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500785740).

328917060 is an abundant number, since it is smaller than the sum of its proper divisors (672654420).

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

328917060 is a wasteful number, since it uses less digits than its factorization.

328917060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 328917060 is about 18136.0706879963. The cubic root of 328917060 is about 690.2855780706.

The spelling of 328917060 in words is "three hundred twenty-eight million, nine hundred seventeen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 6793 8070 9684 12105 13586 16140 20379 24210 27172 33965 40758 48420 61137 67930 81516 101895 122274 135860 203790 244548 305685 407580 611370 1222740 1827317 3654634 5481951 7309268 9136585 10963902 16445853 18273170 21927804 27409755 32891706 36546340 54819510 65783412 82229265 109639020 164458530 328917060