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2981376 = 2932647
BaseRepresentation
bin1011010111111000000000
312121110200100
423113320000
51230401001
6143522400
734225026
oct13277000
95543610
102981376
111756a52
12bb9400
13805038
14578716
153dd586
hex2d7e00

2981376 has 60 divisors (see below), whose sum is σ = 8617752. Its totient is φ = 992256.

The previous prime is 2981371. The next prime is 2981383. The reversal of 2981376 is 6731892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2981376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4285 + ... + 4931.

22981376 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 2981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308876).

2981376 is an abundant number, since it is smaller than the sum of its proper divisors (5636376).

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

2981376 is an equidigital number, since it uses as much as digits as its factorization.

2981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2981376 is about 1726.6661518661. Note that the first 3 decimals coincide. The cubic root of 2981376 is about 143.9258877893.

The spelling of 2981376 in words is "two million, nine hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 647 768 1152 1294 1536 1941 2304 2588 3882 4608 5176 5823 7764 10352 11646 15528 20704 23292 31056 41408 46584 62112 82816 93168 124224 165632 186336 248448 331264 372672 496896 745344 993792 1490688 2981376