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3078314112 = 27323418501
BaseRepresentation
bin1011011101111011…
…0101100010000000
321221112101120002210
42313132311202000
522301022022422
61225242542120
7136166144466
oct26736654200
97845346083
103078314112
11133a69aa55
1271ab07940
133a09a4453
14212b90836
151303b310c
hexb77b5880

3078314112 has 128 divisors (see below), whose sum is σ = 8741416320. Its totient is φ = 957440000.

The previous prime is 3078314087. The next prime is 3078314171. The reversal of 3078314112 is 2114138703.

3078314112 is digitally balanced in base 2 and base 4, 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 (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3078314112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357862 + ... + 366362.

It is an arithmetic number, because the mean of its divisors is an integer number (68292315).

Almost surely, 23078314112 is an apocalyptic number.

3078314112 is a gapful number since it is divisible by the number (32) 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 3078314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370708160).

3078314112 is an abundant number, since it is smaller than the sum of its proper divisors (5663102208).

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

3078314112 is a wasteful number, since it uses less digits than its factorization.

3078314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 3078314112 is about 55482.5568264477. The cubic root of 3078314112 is about 1454.6917564811.

The spelling of 3078314112 in words is "three billion, seventy-eight million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 92 96 123 128 138 164 184 192 246 276 328 368 384 492 552 656 736 943 984 1104 1312 1472 1886 1968 2208 2624 2829 2944 3772 3936 4416 5248 5658 7544 7872 8501 8832 11316 15088 15744 17002 22632 25503 30176 34004 45264 51006 60352 68008 90528 102012 120704 136016 181056 195523 204024 272032 348541 362112 391046 408048 544064 586569 697082 782092 816096 1045623 1088128 1173138 1394164 1564184 1632192 2091246 2346276 2788328 3128368 3264384 4182492 4692552 5576656 6256736 8016443 8364984 9385104 11153312 12513472 16032886 16729968 18770208 22306624 24049329 25026944 32065772 33459936 37540416 44613248 48098658 64131544 66919872 75080832 96197316 128263088 133839744 192394632 256526176 384789264 513052352 769578528 1026104704 1539157056 3078314112