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3466540 = 2257112251
BaseRepresentation
bin1101001110010100101100
320112010012101
431032110230
51341412130
6202144444
741315350
oct15162454
96463171
103466540
111a58510
1211b2124
13944b0c
14663460
154871ca
hex34e52c

3466540 has 48 divisors (see below), whose sum is σ = 9080064. Its totient is φ = 1080000.

The previous prime is 3466499. The next prime is 3466543. The reversal of 3466540 is 456643.

3466540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3466499 and 3466508.

It is not an unprimeable number, because it can be changed into a prime (3466543) 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 15 ways as a sum of consecutive naturals, for example, 415 + ... + 2665.

It is an arithmetic number, because the mean of its divisors is an integer number (189168).

Almost surely, 23466540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540032).

3466540 is an abundant number, since it is smaller than the sum of its proper divisors (5613524).

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

3466540 is a wasteful number, since it uses less digits than its factorization.

3466540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3466540 is about 1861.8646567353. The cubic root of 3466540 is about 151.3440687052.

It can be divided in two parts, 346 and 6540, that added together give a palindrome (6886).

The spelling of 3466540 in words is "three million, four hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2251 4502 9004 11255 15757 22510 24761 31514 45020 49522 63028 78785 99044 123805 157570 173327 247610 315140 346654 495220 693308 866635 1733270 3466540