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3001080 = 233589281
BaseRepresentation
bin1011011100101011111000
312122110201010
423130223320
51232013310
6144153520
734336335
oct13345370
95573633
103001080
11176a835
1210088a0
13810cb4
1458198c
153e4320
hex2dcaf8

3001080 has 64 divisors (see below), whose sum is σ = 9136800. Its totient is φ = 788480.

The previous prime is 3001073. The next prime is 3001081. The reversal of 3001080 is 801003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10540 + ... + 10820.

Almost surely, 23001080 is an apocalyptic number.

3001080 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 3001080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568400).

3001080 is an abundant number, since it is smaller than the sum of its proper divisors (6135720).

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

3001080 is a wasteful number, since it uses less digits than its factorization.

3001080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3001080 is about 1732.3625486601. The cubic root of 3001080 is about 144.2422619492.

Adding to 3001080 its reverse (801003), we get a palindrome (3802083).

The spelling of 3001080 in words is "three million, one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 281 356 445 534 562 712 843 890 1068 1124 1335 1405 1686 1780 2136 2248 2670 2810 3372 3560 4215 5340 5620 6744 8430 10680 11240 16860 25009 33720 50018 75027 100036 125045 150054 200072 250090 300108 375135 500180 600216 750270 1000360 1500540 3001080