Search a number
-
+
2040331032 = 2337277421
BaseRepresentation
bin111100110011100…
…1111101100011000
312021012020120000000
41321213033230120
513134311043112
6534243213000
7101363345655
oct17147175430
95235216000
102040331032
119577939a3
1248b377160
1326692878c
14154d96c2c
15be1cc7dc
hex799cfb18

2040331032 has 128 divisors (see below), whose sum is σ = 5771947200. Its totient is φ = 676045440.

The previous prime is 2040331021. The next prime is 2040331039. The reversal of 2040331032 is 2301330402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040330996 and 2040331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040331039) 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, 4846182 + ... + 4846602.

Almost surely, 22040331032 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 2040331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885973600).

2040331032 is an abundant number, since it is smaller than the sum of its proper divisors (3731616168).

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

2040331032 is an equidigital number, since it uses as much as digits as its factorization.

2040331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2040331032 is about 45170.0235997282. The cubic root of 2040331032 is about 1268.3337380769. Note that the first 3 decimals are identical.

Adding to 2040331032 its reverse (2301330402), we get a palindrome (4341661434).

The spelling of 2040331032 in words is "two billion, forty million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 277 324 421 486 554 648 729 831 842 972 1108 1263 1458 1662 1684 1944 2187 2216 2493 2526 2916 3324 3368 3789 4374 4986 5052 5832 6648 7479 7578 8748 9972 10104 11367 14958 15156 17496 19944 22437 22734 29916 30312 34101 44874 45468 59832 67311 68202 89748 90936 102303 116617 134622 136404 179496 201933 204606 233234 269244 272808 306909 349851 403866 409212 466468 538488 605799 613818 699702 807732 818424 920727 932936 1049553 1211598 1227636 1399404 1615464 1841454 2099106 2423196 2455272 2798808 3148659 3682908 4198212 4846392 6297318 7365816 8396424 9445977 12594636 18891954 25189272 28337931 37783908 56675862 75567816 85013793 113351724 170027586 226703448 255041379 340055172 510082758 680110344 1020165516 2040331032