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3144192 = 2932389
BaseRepresentation
bin1011111111101000000000
312220202000120
423333220000
51301103232
6151220240
735503512
oct13775000
95822016
103144192
111858307
121077680
1386118c
145bbbb2
1542192c
hex2ffa00

3144192 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 991232.

The previous prime is 3144191. The next prime is 3144217. The reversal of 3144192 is 2914413.

3144192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3144191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35284 + ... + 35372.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 23144192 is an apocalyptic number.

3144192 is a gapful number since it is divisible by the number (32) 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 3144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3144192 is an abundant number, since it is smaller than the sum of its proper divisors (5694528).

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

3144192 is an equidigital number, since it uses as much as digits as its factorization.

3144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3144192 is about 1773.1869613777. The cubic root of 3144192 is about 146.4995709508.

The spelling of 3144192 in words is "three million, one hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 89 92 96 128 138 178 184 192 256 267 276 356 368 384 512 534 552 712 736 768 1068 1104 1424 1472 1536 2047 2136 2208 2848 2944 4094 4272 4416 5696 5888 6141 8188 8544 8832 11392 11776 12282 16376 17088 17664 22784 24564 32752 34176 35328 45568 49128 65504 68352 98256 131008 136704 196512 262016 393024 524032 786048 1048064 1572096 3144192