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3363228 = 22331119149
BaseRepresentation
bin1100110101000110011100
320022212111000
430311012130
51330110403
6200030300
740405221
oct14650634
96285430
103363228
111997930
121162390
13909a9b
14637948
154667a3
hex33519c

3363228 has 96 divisors (see below), whose sum is σ = 10080000. Its totient is φ = 959040.

The previous prime is 3363211. The next prime is 3363233. The reversal of 3363228 is 8223633.

3363228 is a `hidden beast` number, since 3 + 3 + 632 + 28 = 666.

3363228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33632282 = 22622605159968, which contains 22 as substring.

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

Its product of digits (5184) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22498 + ... + 22646.

It is an arithmetic number, because the mean of its divisors is an integer number (105000).

Almost surely, 23363228 is an apocalyptic number.

3363228 is a gapful number since it is divisible by the number (38) 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 3363228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040000).

3363228 is an abundant number, since it is smaller than the sum of its proper divisors (6716772).

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

3363228 is a wasteful number, since it uses less digits than its factorization.

3363228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3363228 is about 1833.9105757915. The cubic root of 3363228 is about 149.8253968371.

The spelling of 3363228 in words is "three million, three hundred sixty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 149 171 198 209 228 297 298 342 396 418 447 513 594 596 627 684 836 894 1026 1188 1254 1341 1639 1788 1881 2052 2508 2682 2831 3278 3762 4023 4917 5364 5643 5662 6556 7524 8046 8493 9834 11286 11324 14751 16092 16986 19668 22572 25479 29502 31141 33972 44253 50958 59004 62282 76437 88506 93423 101916 124564 152874 177012 186846 280269 305748 373692 560538 840807 1121076 1681614 3363228