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3012984 = 2333132937
BaseRepresentation
bin1011011111100101111000
312200002001000
423133211320
51232403414
6144325000
734416132
oct13374570
95602030
103012984
111778777
121013760
13816540
14586052
153e7b09
hex2df978

3012984 has 128 divisors (see below), whose sum is σ = 9576000. Its totient is φ = 870912.

The previous prime is 3012979. The next prime is 3012991. The reversal of 3012984 is 4892103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81414 + ... + 81450.

Almost surely, 23012984 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 3012984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788000).

3012984 is an abundant number, since it is smaller than the sum of its proper divisors (6563016).

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

3012984 is a wasteful number, since it uses less digits than its factorization.

3012984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3012984 is about 1735.7949187620. The cubic root of 3012984 is about 144.4327261149.

The spelling of 3012984 in words is "three million, twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 37 39 52 54 58 72 74 78 87 104 108 111 116 117 148 156 174 216 222 232 234 261 296 312 333 348 351 377 444 468 481 522 666 696 702 754 783 888 936 962 999 1044 1073 1131 1332 1404 1443 1508 1566 1924 1998 2088 2146 2262 2664 2808 2886 3016 3132 3219 3393 3848 3996 4292 4329 4524 5772 6264 6438 6786 7992 8584 8658 9048 9657 10179 11544 12876 12987 13572 13949 17316 19314 20358 25752 25974 27144 27898 28971 34632 38628 40716 41847 51948 55796 57942 77256 81432 83694 103896 111592 115884 125541 167388 231768 251082 334776 376623 502164 753246 1004328 1506492 3012984