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3142304 = 251179113
BaseRepresentation
bin1011111111001010100000
312220122102122
423333022200
51301023204
6151203412
735465144
oct13771240
95818378
103142304
111856950
121076568
13860369
145bb224
154210be
hex2ff2a0

3142304 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1397760.

The previous prime is 3142303. The next prime is 3142309. The reversal of 3142304 is 4032413.

It is not an unprimeable number, because it can be changed into a prime (3142301) 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, 27752 + ... + 27864.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23142304 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 3142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

3142304 is an abundant number, since it is smaller than the sum of its proper divisors (3752416).

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

3142304 is a wasteful number, since it uses less digits than its factorization.

3142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3142304 is about 1772.6545066651. The cubic root of 3142304 is about 146.4702421047.

Adding to 3142304 its reverse (4032413), we get a palindrome (7174717).

The spelling of 3142304 in words is "three million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 113 158 176 226 316 352 452 632 869 904 1243 1264 1738 1808 2486 2528 3476 3616 4972 6952 8927 9944 13904 17854 19888 27808 35708 39776 71416 98197 142832 196394 285664 392788 785576 1571152 3142304