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3355128 = 233372317
BaseRepresentation
bin1100110011000111111000
320022110101000
430303013320
51324331003
6155525000
740342500
oct14630770
96273330
103355128
111991837
121159760
139061aa
14634a00
154641a3
hex3331f8

3355128 has 96 divisors (see below), whose sum is σ = 10875600. Its totient is φ = 955584.

The previous prime is 3355127. The next prime is 3355141. The reversal of 3355128 is 8215533.

It is a super-2 number, since 2×33551282 = 22513767792768, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10426 + ... + 10742.

Almost surely, 23355128 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 3355128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437800).

3355128 is an abundant number, since it is smaller than the sum of its proper divisors (7520472).

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

3355128 is a wasteful number, since it uses less digits than its factorization.

3355128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3355128 is about 1831.7008489379. The cubic root of 3355128 is about 149.7050202934.

The spelling of 3355128 in words is "three million, three hundred fifty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 317 378 392 441 504 588 634 756 882 951 1176 1268 1323 1512 1764 1902 2219 2536 2646 2853 3528 3804 4438 5292 5706 6657 7608 8559 8876 10584 11412 13314 15533 17118 17752 19971 22824 26628 31066 34236 39942 46599 53256 59913 62132 68472 79884 93198 119826 124264 139797 159768 186396 239652 279594 372792 419391 479304 559188 838782 1118376 1677564 3355128