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3481416 = 233248353
BaseRepresentation
bin1101010001111101001000
320112212121100
431101331020
51342401131
6202341400
741406621
oct15217510
96485540
103481416
111a68704
1211ba860
1394b813
14668a48
1548b7e6
hex351f48

3481416 has 24 divisors (see below), whose sum is σ = 9429030. Its totient is φ = 1160448.

The previous prime is 3481403. The next prime is 3481463. The reversal of 3481416 is 6141843.

3481416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3437316 + 44100 = 1854^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3481416.

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 5 ways as a sum of consecutive naturals, for example, 24105 + ... + 24248.

Almost surely, 23481416 is an apocalyptic number.

3481416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3481416 is an abundant number, since it is smaller than the sum of its proper divisors (5947614).

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

3481416 is a wasteful number, since it uses less digits than its factorization.

3481416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48365 (or 48358 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3481416 is about 1865.8552998558. The cubic root of 3481416 is about 151.5602479065.

It can be divided in two parts, 348 and 1416, that added together give a square (1764 = 422).

The spelling of 3481416 in words is "three million, four hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 48353 96706 145059 193412 290118 386824 435177 580236 870354 1160472 1740708 3481416