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3131424 = 253283131
BaseRepresentation
bin1011111100100000100000
312220002111200
423330200200
51300201144
6151041200
735421342
oct13744040
95802450
103131424
11184975a
121070200
1385841a
145b7292
1541cc69
hex2fc820

3131424 has 72 divisors (see below), whose sum is σ = 9081072. Its totient is φ = 1023360.

The previous prime is 3131419. The next prime is 3131431. The reversal of 3131424 is 4241313.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3131397 and 3131406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23839 + ... + 23969.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 23131424 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 3131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540536).

3131424 is an abundant number, since it is smaller than the sum of its proper divisors (5949648).

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

3131424 is a wasteful number, since it uses less digits than its factorization.

3131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3131424 is about 1769.5830017267. The cubic root of 3131424 is about 146.3009990888.

Adding to 3131424 its reverse (4241313), we get a palindrome (7372737).

The spelling of 3131424 in words is "three million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 131 144 166 249 262 288 332 393 498 524 664 747 786 996 1048 1179 1328 1494 1572 1992 2096 2358 2656 2988 3144 3984 4192 4716 5976 6288 7968 9432 10873 11952 12576 18864 21746 23904 32619 37728 43492 65238 86984 97857 130476 173968 195714 260952 347936 391428 521904 782856 1043808 1565712 3131424