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3280080 = 243579173
BaseRepresentation
bin1100100000110011010000
320011122102110
430200303100
51314430310
6154145320
736610626
oct14406320
96148373
103280080
111940411
121122240
138aac9b
14615516
1544bd20
hex320cd0

3280080 has 80 divisors (see below), whose sum is σ = 10356480. Its totient is φ = 858624.

The previous prime is 3280073. The next prime is 3280111. The reversal of 3280080 is 800823.

3280080 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18874 + ... + 19046.

It is an arithmetic number, because the mean of its divisors is an integer number (129456).

Almost surely, 23280080 is an apocalyptic number.

3280080 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 3280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178240).

3280080 is an abundant number, since it is smaller than the sum of its proper divisors (7076400).

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

3280080 is a wasteful number, since it uses less digits than its factorization.

3280080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3280080 is about 1811.0991137980. The cubic root of 3280080 is about 148.5803847799.

The spelling of 3280080 in words is "three million, two hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 173 237 240 316 346 395 474 519 632 692 790 865 948 1038 1185 1264 1384 1580 1730 1896 2076 2370 2595 2768 3160 3460 3792 4152 4740 5190 6320 6920 8304 9480 10380 13667 13840 18960 20760 27334 41001 41520 54668 68335 82002 109336 136670 164004 205005 218672 273340 328008 410010 546680 656016 820020 1093360 1640040 3280080