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3144372 = 2237114183
BaseRepresentation
bin1011111111101010110100
312220202021020
423333222310
51301104442
6151221140
735504160
oct13775264
95822236
103144372
111858460
1210777b0
1386129a
145bbca0
154219ec
hex2ffab4

3144372 has 96 divisors (see below), whose sum is σ = 9483264. Its totient is φ = 787200.

The previous prime is 3144359. The next prime is 3144373. The reversal of 3144372 is 2734413.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37843 + ... + 37925.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

Almost surely, 23144372 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 3144372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632).

3144372 is an abundant number, since it is smaller than the sum of its proper divisors (6338892).

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

3144372 is a wasteful number, since it uses less digits than its factorization.

3144372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 3144372 is about 1773.2377167205. The cubic root of 3144372 is about 146.5023665201.

Adding to 3144372 its reverse (2734413), we get a palindrome (5878785).

The spelling of 3144372 in words is "three million, one hundred forty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 83 84 123 132 154 164 166 231 246 249 287 308 332 451 462 492 498 574 581 861 902 913 924 996 1148 1162 1353 1722 1743 1804 1826 2324 2706 2739 3157 3403 3444 3486 3652 5412 5478 6314 6391 6806 6972 9471 10209 10956 12628 12782 13612 18942 19173 20418 23821 25564 37433 37884 38346 40836 47642 71463 74866 76692 95284 112299 142926 149732 224598 262031 285852 449196 524062 786093 1048124 1572186 3144372