Search a number
-
+
3144096 = 25341213
BaseRepresentation
bin1011111111100110100000
312220201220000
423333212200
51301102341
6151220000
735503314
oct13774640
95821800
103144096
11185822a
121077600
13861117
145bbb44
154218b6
hex2ff9a0

3144096 has 60 divisors (see below), whose sum is σ = 9254322. Its totient is φ = 1047168.

The previous prime is 3144091. The next prime is 3144137. The reversal of 3144096 is 6904413.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 32400 = 1764^2 + 180^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3144091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1986 + ... + 3198.

Almost surely, 23144096 is an apocalyptic number.

3144096 is a gapful number since it is divisible by the number (36) 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 3144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627161).

3144096 is an abundant number, since it is smaller than the sum of its proper divisors (6110226).

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

3144096 is a wasteful number, since it uses less digits than its factorization.

3144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3144096 is about 1773.1598912676. The cubic root of 3144096 is about 146.4980799369.

The spelling of 3144096 in words is "three million, one hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1213 1296 2426 2592 3639 4852 7278 9704 10917 14556 19408 21834 29112 32751 38816 43668 58224 65502 87336 98253 116448 131004 174672 196506 262008 349344 393012 524016 786024 1048032 1572048 3144096