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3481056 = 25341779
BaseRepresentation
bin1101010001110111100000
320112212010000
431101313200
51342343211
6202340000
741405565
oct15216740
96485100
103481056
111a68407
1211ba600
1394b5c7
1466886c
1548b656
hex351de0

3481056 has 120 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 1078272.

The previous prime is 3481043. The next prime is 3481069. The reversal of 3481056 is 6501843.

3481056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3481043) and next prime (3481069).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44025 + ... + 44103.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 23481056 is an apocalyptic number.

3481056 is a gapful number since it is divisible by the number (36) 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 3481056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

3481056 is an abundant number, since it is smaller than the sum of its proper divisors (7496064).

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

3481056 is a wasteful number, since it uses less digits than its factorization.

3481056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3481056 is about 1865.7588268584. The cubic root of 3481056 is about 151.5550236366. Note that the first 3 decimals are identical.

Adding to 3481056 its reverse (6501843), we get a palindrome (9982899).

The spelling of 3481056 in words is "three million, four hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 79 81 96 102 108 136 144 153 158 162 204 216 237 272 288 306 316 324 408 432 459 474 544 612 632 648 711 816 864 918 948 1224 1264 1296 1343 1377 1422 1632 1836 1896 2133 2448 2528 2592 2686 2754 2844 3672 3792 4029 4266 4896 5372 5508 5688 6399 7344 7584 8058 8532 10744 11016 11376 12087 12798 14688 16116 17064 21488 22032 22752 24174 25596 32232 34128 36261 42976 44064 48348 51192 64464 68256 72522 96696 102384 108783 128928 145044 193392 204768 217566 290088 386784 435132 580176 870264 1160352 1740528 3481056