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3386440 = 235312731
BaseRepresentation
bin1100111010110001001000
320101001022201
430322301020
51331331230
6200325544
740533001
oct14726110
96331281
103386440
111a03312
1211738b4
13917515
146421a8
1546d5ca
hex33ac48

3386440 has 32 divisors (see below), whose sum is σ = 7868160. Its totient is φ = 1310400.

The previous prime is 3386431. The next prime is 3386473. The reversal of 3386440 is 446833.

It is a super-2 number, since 2×33864402 = 22935951747200, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 3386399 and 3386408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 2605.

It is an arithmetic number, because the mean of its divisors is an integer number (245880).

Almost surely, 23386440 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 3386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934080).

3386440 is an abundant number, since it is smaller than the sum of its proper divisors (4481720).

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

3386440 is a wasteful number, since it uses less digits than its factorization.

3386440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3386440 is about 1840.2282467129. The cubic root of 3386440 is about 150.1692903481.

The spelling of 3386440 in words is "three million, three hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2731 5462 10924 13655 21848 27310 54620 84661 109240 169322 338644 423305 677288 846610 1693220 3386440