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3061440 = 263251063
BaseRepresentation
bin1011101011011011000000
312202112111200
423223123000
51240431230
6145341200
735010324
oct13533300
95675450
103061440
111801118
121037800
13832605
14599984
15407160
hex2eb6c0

3061440 has 84 divisors (see below), whose sum is σ = 10539984. Its totient is φ = 815616.

The previous prime is 3061433. The next prime is 3061441. The reversal of 3061440 is 441603.

3061440 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3061441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2349 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 23061440 is an apocalyptic number.

3061440 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 3061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269992).

3061440 is an abundant number, since it is smaller than the sum of its proper divisors (7478544).

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

3061440 is a wasteful number, since it uses less digits than its factorization.

3061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3061440 is about 1749.6971166462. The cubic root of 3061440 is about 145.2028868128.

The spelling of 3061440 in words is "three million, sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1063 1440 2126 2880 3189 4252 5315 6378 8504 9567 10630 12756 15945 17008 19134 21260 25512 31890 34016 38268 42520 47835 51024 63780 68032 76536 85040 95670 102048 127560 153072 170080 191340 204096 255120 306144 340160 382680 510240 612288 765360 1020480 1530720 3061440