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3079040 = 27517283
BaseRepresentation
bin1011101111101110000000
312210102122112
423233232000
51242012130
6145554452
735112536
oct13575600
95712575
103079040
111813368
121045a28
1383a623
145a2156
1540c495
hex2efb80

3079040 has 64 divisors (see below), whose sum is σ = 7821360. Its totient is φ = 1155072.

The previous prime is 3079039. The next prime is 3079049. The reversal of 3079040 is 409703.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3078997 and 3079015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3079049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10739 + ... + 11021.

Almost surely, 23079040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910680).

3079040 is an abundant number, since it is smaller than the sum of its proper divisors (4742320).

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

3079040 is a wasteful number, since it uses less digits than its factorization.

3079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 3079040 is about 1754.7193507795. The cubic root of 3079040 is about 145.4806089659.

The spelling of 3079040 in words is "three million, seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 283 320 340 544 566 640 680 1088 1132 1360 1415 2176 2264 2720 2830 4528 4811 5440 5660 9056 9622 10880 11320 18112 19244 22640 24055 36224 38488 45280 48110 76976 90560 96220 153952 181120 192440 307904 384880 615808 769760 1539520 3079040