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3078720 = 263251069
BaseRepresentation
bin1011101111101001000000
312210102012200
423233221000
51242004340
6145553200
735111601
oct13575100
95712180
103078720
1118130a7
121045800
1383a438
145a1da8
1540c330
hex2efa40

3078720 has 84 divisors (see below), whose sum is σ = 10599420. Its totient is φ = 820224.

The previous prime is 3078689. The next prime is 3078721. The reversal of 3078720 is 278703.

3078720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 1806336 = 1128^2 + 1344^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3078721) 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, 2346 + ... + 3414.

Almost surely, 23078720 is an apocalyptic number.

3078720 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 3078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299710).

3078720 is an abundant number, since it is smaller than the sum of its proper divisors (7520700).

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

3078720 is a wasteful number, since it uses less digits than its factorization.

3078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3078720 is about 1754.6281657377. The cubic root of 3078720 is about 145.4755689309.

The spelling of 3078720 in words is "three million, seventy-eight thousand, seven hundred twenty".

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 1069 1440 2138 2880 3207 4276 5345 6414 8552 9621 10690 12828 16035 17104 19242 21380 25656 32070 34208 38484 42760 48105 51312 64140 68416 76968 85520 96210 102624 128280 153936 171040 192420 205248 256560 307872 342080 384840 513120 615744 769680 1026240 1539360 3078720