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3072240 = 2432517251
BaseRepresentation
bin1011101110000011110000
312210002022200
423232003300
51241302430
6145503200
735053653
oct13560360
95702280
103072240
111809246
121041b00
138374c2
1459d89a
1540a460
hex2ee0f0

3072240 has 120 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 768000.

The previous prime is 3072239. The next prime is 3072263. The reversal of 3072240 is 422703.

It is a happy number.

3072240 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 tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12115 + ... + 12365.

Almost surely, 23072240 is an apocalyptic number.

3072240 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 3072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024).

3072240 is an abundant number, since it is smaller than the sum of its proper divisors (7895808).

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

3072240 is a wasteful number, since it uses less digits than its factorization.

3072240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3072240 is about 1752.7806479991. The cubic root of 3072240 is about 145.3734329959.

Adding to 3072240 its reverse (422703), we get a palindrome (3494943).

The spelling of 3072240 in words is "three million, seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 251 255 272 306 340 360 408 502 510 612 680 720 753 765 816 1004 1020 1224 1255 1360 1506 1530 2008 2040 2259 2448 2510 3012 3060 3765 4016 4080 4267 4518 5020 6024 6120 7530 8534 9036 10040 11295 12048 12240 12801 15060 17068 18072 20080 21335 22590 25602 30120 34136 36144 38403 42670 45180 51204 60240 64005 68272 76806 85340 90360 102408 128010 153612 170680 180720 192015 204816 256020 307224 341360 384030 512040 614448 768060 1024080 1536120 3072240