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3079296 = 273711
BaseRepresentation
bin1011101111110010000000
312210110000000
423233302000
51242014141
6150000000
735113353
oct13576200
95713000
103079296
111813580
121046000
1383a78c
145a229a
1540c5b6
hex2efc80

3079296 has 128 divisors (see below), whose sum is σ = 10036800. Its totient is φ = 933120.

The previous prime is 3079291. The next prime is 3079303. The reversal of 3079296 is 6929703.

3079296 is digitally balanced in base 2, because in such base 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3079296.

It is not an unprimeable number, because it can be changed into a prime (3079291) 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 15 ways as a sum of consecutive naturals, for example, 279931 + ... + 279941.

Almost surely, 23079296 is an apocalyptic number.

3079296 is a gapful number since it is divisible by the number (36) 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 3079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018400).

3079296 is an abundant number, since it is smaller than the sum of its proper divisors (6957504).

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

3079296 is an frugal number, since it uses more digits than its factorization.

3079296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3079296 is about 1754.7922954014. The cubic root of 3079296 is about 145.4846407424.

It can be divided in two parts, 3079 and 296, that added together give a cube (3375 = 153).

The spelling of 3079296 in words is "three million, seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 243 264 288 297 324 352 384 396 432 486 528 576 594 648 704 729 792 864 891 972 1056 1152 1188 1296 1408 1458 1584 1728 1782 1944 2112 2187 2376 2592 2673 2916 3168 3456 3564 3888 4224 4374 4752 5184 5346 5832 6336 7128 7776 8019 8748 9504 10368 10692 11664 12672 14256 15552 16038 17496 19008 21384 23328 24057 28512 31104 32076 34992 38016 42768 46656 48114 57024 64152 69984 85536 93312 96228 114048 128304 139968 171072 192456 256608 279936 342144 384912 513216 769824 1026432 1539648 3079296