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3416192 = 27132053
BaseRepresentation
bin1101000010000010000000
320102120010122
431002002000
51333304232
6201115412
741015513
oct15020200
96376118
103416192
111a236aa
121188b68
13927c20
1464cd7a
15477312
hex342080

3416192 has 32 divisors (see below), whose sum is σ = 7332780. Its totient is φ = 1575936.

The previous prime is 3416191. The next prime is 3416207. The reversal of 3416192 is 2916143.

It can be written as a sum of positive squares in 2 ways, for example, as 3297856 + 118336 = 1816^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3416191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 2690.

Almost surely, 23416192 is an apocalyptic number.

3416192 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 3416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666390).

3416192 is an abundant number, since it is smaller than the sum of its proper divisors (3916588).

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

3416192 is a wasteful number, since it uses less digits than its factorization.

3416192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2068 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 3416192 is about 1848.2943488525. The cubic root of 3416192 is about 150.6077858348.

The spelling of 3416192 in words is "three million, four hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2053 4106 8212 16424 26689 32848 53378 65696 106756 131392 213512 262784 427024 854048 1708096 3416192