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3142440 = 2332572943
BaseRepresentation
bin1011111111001100101000
312220122121200
423333030220
51301024230
6151204200
735465430
oct13771450
95818550
103142440
111856a64
121076660
13860442
145bb2c0
15421160
hex2ff328

3142440 has 192 divisors, whose sum is σ = 12355200. Its totient is φ = 677376.

The previous prime is 3142393. The next prime is 3142441. The reversal of 3142440 is 442413.

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

It is not an unprimeable number, because it can be changed into a prime (3142441) 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 47 ways as a sum of consecutive naturals, for example, 73059 + ... + 73101.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

Almost surely, 23142440 is an apocalyptic number.

3142440 is a gapful number since it is divisible by the number (30) 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 3142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

3142440 is an abundant number, since it is smaller than the sum of its proper divisors (9212760).

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

3142440 is a wasteful number, since it uses less digits than its factorization.

3142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3142440 is about 1772.6928667990. The cubic root of 3142440 is about 146.4723551684.

Adding to 3142440 its reverse (442413), we get a palindrome (3584853).

The spelling of 3142440 in words is "three million, one hundred forty-two thousand, four hundred forty".