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3381144 = 2331310837
BaseRepresentation
bin1100111001011110011000
320100210001120
430321132120
51331144034
6200245240
740511364
oct14713630
96323046
103381144
1119aa338
121170820
13914ca0
146402a4
1546bc49
hex339798

3381144 has 32 divisors (see below), whose sum is σ = 9103920. Its totient is φ = 1040256.

The previous prime is 3381143. The next prime is 3381149. The reversal of 3381144 is 4411833.

3381144 = T39 + T40 + ... + T272.

It is a super-2 number, since 2×33811442 = 22864269497472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5107 + ... + 5730.

Almost surely, 23381144 is an apocalyptic number.

It is an amenable number.

3381144 is an abundant number, since it is smaller than the sum of its proper divisors (5722776).

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

3381144 is a wasteful number, since it uses less digits than its factorization.

3381144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10855 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 3381144 is about 1838.7887317471. The cubic root of 3381144 is about 150.0909670444.

Adding to 3381144 its reverse (4411833), we get a palindrome (7792977).

The spelling of 3381144 in words is "three million, three hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 10837 21674 32511 43348 65022 86696 130044 140881 260088 281762 422643 563524 845286 1127048 1690572 3381144