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3530112 = 27329317
BaseRepresentation
bin1101011101110110000000
320122100101220
431131312000
51400430422
6203355040
742001605
oct15356600
96570356
103530112
111aa1253
121222a80
13967a31
1467c6ac
1549ae5c
hex35dd80

3530112 has 64 divisors (see below), whose sum is σ = 9730800. Its totient is φ = 1132544.

The previous prime is 3530099. The next prime is 3530113. The reversal of 3530112 is 2110353.

It is a happy number.

3530112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3530091 and 3530100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10978 + ... + 11294.

Almost surely, 23530112 is an apocalyptic number.

3530112 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 3530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865400).

3530112 is an abundant number, since it is smaller than the sum of its proper divisors (6200688).

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

3530112 is a wasteful number, since it uses less digits than its factorization.

3530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3530112 is about 1878.8592283617. The cubic root of 3530112 is about 152.2636237711.

Adding to 3530112 its reverse (2110353), we get a palindrome (5640465).

The spelling of 3530112 in words is "three million, five hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 317 348 384 464 634 696 928 951 1268 1392 1856 1902 2536 2784 3712 3804 5072 5568 7608 9193 10144 11136 15216 18386 20288 27579 30432 36772 40576 55158 60864 73544 110316 121728 147088 220632 294176 441264 588352 882528 1176704 1765056 3530112