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3354912 = 253311353
BaseRepresentation
bin1100110011000100100000
320022110002000
430303010200
51324324122
6155524000
740342041
oct14630440
96273060
103354912
111991660
121159600
13906072
146348c8
154640ac
hex333120

3354912 has 96 divisors (see below), whose sum is σ = 10704960. Its totient is φ = 1013760.

The previous prime is 3354881. The next prime is 3354929. The reversal of 3354912 is 2194533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33549122 = 22510869055488, which contains 22 as substring.

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

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, 9328 + ... + 9680.

It is an arithmetic number, because the mean of its divisors is an integer number (111510).

Almost surely, 23354912 is an apocalyptic number.

3354912 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 3354912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352480).

3354912 is an abundant number, since it is smaller than the sum of its proper divisors (7350048).

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

3354912 is a wasteful number, since it uses less digits than its factorization.

3354912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3354912 is about 1831.6418863959. The cubic root of 3354912 is about 149.7018076014.

It can be divided in two parts, 33 and 54912, that added together give a palindrome (54945).

The spelling of 3354912 in words is "three million, three hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 353 396 432 528 594 706 792 864 1056 1059 1188 1412 1584 2118 2376 2824 3168 3177 3883 4236 4752 5648 6354 7766 8472 9504 9531 11296 11649 12708 15532 16944 19062 23298 25416 31064 33888 34947 38124 46596 50832 62128 69894 76248 93192 101664 104841 124256 139788 152496 186384 209682 279576 304992 372768 419364 559152 838728 1118304 1677456 3354912