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326040 = 2335111319
BaseRepresentation
bin1001111100110011000
3121120020120
41033212120
540413130
610553240
72525361
oct1174630
9546216
10326040
11202a60
12138820
13b5530
1486b68
1566910
hex4f998

326040 has 128 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 69120.

The previous prime is 326023. The next prime is 326057. The reversal of 326040 is 40623.

326040 is nontrivially palindromic in base 14.

326040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 5712-1.

It is an interprime number because it is at equal distance from previous prime (326023) and next prime (326057).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17151 + ... + 17169.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2326040 is an apocalyptic number.

326040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

326040 is the 330-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

326040 is an abundant number, since it is smaller than the sum of its proper divisors (883560).

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

326040 is a wasteful number, since it uses less digits than its factorization.

326040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 326040 is about 570.9991243426. Note that the first 3 decimals coincide. The cubic root of 326040 is about 68.8267022726.

326040 divided by its sum of digits (15) gives a triangular number (21736 = T208).

Adding to 326040 its reverse (40623), we get a palindrome (366663).

The spelling of 326040 in words is "three hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 19 20 22 24 26 30 33 38 39 40 44 52 55 57 60 65 66 76 78 88 95 104 110 114 120 130 132 143 152 156 165 190 195 209 220 228 247 260 264 285 286 312 330 380 390 418 429 440 456 494 520 570 572 627 660 715 741 760 780 836 858 988 1045 1140 1144 1235 1254 1320 1430 1482 1560 1672 1716 1976 2090 2145 2280 2470 2508 2717 2860 2964 3135 3432 3705 4180 4290 4940 5016 5434 5720 5928 6270 7410 8151 8360 8580 9880 10868 12540 13585 14820 16302 17160 21736 25080 27170 29640 32604 40755 54340 65208 81510 108680 163020 326040