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3055104 = 29331317
BaseRepresentation
bin1011101001111000000000
312202012211000
423221320000
51240230404
6145252000
734653003
oct13517000
95665730
103055104
1117a7388
121034000
1382c770
1459753a
15405339
hex2e9e00

3055104 has 160 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 884736.

The previous prime is 3055097. The next prime is 3055153. The reversal of 3055104 is 4015503.

3055104 = T591 + T592 + ... + T607.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 179704 + ... + 179720.

It is an arithmetic number, because the mean of its divisors is an integer number (64449).

Almost surely, 23055104 is an apocalyptic number.

3055104 is a gapful number since it is divisible by the number (34) 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 3055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

3055104 is an abundant number, since it is smaller than the sum of its proper divisors (7256736).

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

3055104 is a wasteful number, since it uses less digits than its factorization.

3055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3055104 is about 1747.8855797792. The cubic root of 3055104 is about 145.1026463043.

The spelling of 3055104 in words is "three million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 96 102 104 108 117 128 136 144 153 156 192 204 208 216 221 234 256 272 288 306 312 351 384 408 416 432 442 459 468 512 544 576 612 624 663 702 768 816 832 864 884 918 936 1088 1152 1224 1248 1326 1404 1536 1632 1664 1728 1768 1836 1872 1989 2176 2304 2448 2496 2652 2808 3264 3328 3456 3536 3672 3744 3978 4352 4608 4896 4992 5304 5616 5967 6528 6656 6912 7072 7344 7488 7956 8704 9792 9984 10608 11232 11934 13056 13824 14144 14688 14976 15912 19584 19968 21216 22464 23868 26112 28288 29376 29952 31824 39168 42432 44928 47736 56576 58752 59904 63648 78336 84864 89856 95472 113152 117504 127296 169728 179712 190944 235008 254592 339456 381888 509184 763776 1018368 1527552 3055104