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2041110344 = 237132239377
BaseRepresentation
bin111100110101000…
…1101111101001000
312021020201011000102
41321222031331020
513140011012334
6534312024532
7101403103010
oct17152157510
95236634012
102041110344
11958176459
1248b692148
13266b3c400
1415511ac40
15be2d367e
hex79a8df48

2041110344 has 96 divisors (see below), whose sum is σ = 4942581120. Its totient is φ = 772282368.

The previous prime is 2041110317. The next prime is 2041110349. The reversal of 2041110344 is 4430111402.

It is a super-2 number, since 2×20411103442 = 8332262872767596672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2041110349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212984 + ... + 222360.

It is an arithmetic number, because the mean of its divisors is an integer number (51485220).

Almost surely, 22041110344 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 2041110344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471290560).

2041110344 is an abundant number, since it is smaller than the sum of its proper divisors (2901470776).

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

2041110344 is a wasteful number, since it uses less digits than its factorization.

2041110344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2041110344 is about 45178.6492051279. The cubic root of 2041110344 is about 1268.4951991125.

Adding to 2041110344 its reverse (4430111402), we get a palindrome (6471221746).

The spelling of 2041110344 in words is "two billion, forty-one million, one hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 169 182 184 299 322 338 364 598 644 676 728 1183 1196 1288 1352 2093 2366 2392 3887 4186 4732 7774 8372 9377 9464 15548 16744 18754 27209 31096 37508 54418 65639 75016 108836 121901 131278 215671 217672 243802 262556 431342 487604 525112 853307 862684 975208 1509697 1584713 1706614 1725368 2803723 3019394 3169426 3413228 5607446 6038788 6338852 6826456 11092991 11214892 12077576 12677704 19626061 22185982 22429784 36448399 39252122 44371964 72896798 78504244 88743928 145793596 157008488 255138793 291587192 510277586 1020555172 2041110344