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2003442324 = 22313235091097
BaseRepresentation
bin111011101101010…
…0001101010010100
312011121211102012120
41313122201222110
513100340123244
6530444415540
7100434656502
oct16732415224
95147742176
102003442324
11938988964
1247ab475b0
1325c0b1140
14150113672
15bad42819
hex776a1a94

2003442324 has 96 divisors (see below), whose sum is σ = 5268291840. Its totient is φ = 587947008.

The previous prime is 2003442319. The next prime is 2003442341. The reversal of 2003442324 is 4232443002.

It is a super-2 number, since 2×20034423242 = 8027562291189041952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003442294 and 2003442303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825744 + ... + 1826840.

It is an arithmetic number, because the mean of its divisors is an integer number (54878040).

Almost surely, 22003442324 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 2003442324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634145920).

2003442324 is an abundant number, since it is smaller than the sum of its proper divisors (3264849516).

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

2003442324 is a wasteful number, since it uses less digits than its factorization.

2003442324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2003442324 is about 44759.8293562431. The cubic root of 2003442324 is about 1260.6434783258.

Adding to 2003442324 its reverse (4232443002), we get a palindrome (6235885326).

The spelling of 2003442324 in words is "two billion, three million, four hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 509 598 897 1018 1097 1196 1527 1794 2036 2194 3054 3291 3588 4388 6108 6582 6617 11707 13164 13234 14261 19851 23414 25231 26468 28522 35121 39702 42783 46828 50462 57044 70242 75693 79404 85566 100924 140484 151386 152191 171132 302772 304382 328003 456573 558373 608764 656006 913146 984009 1116746 1312012 1675119 1826292 1968018 2233492 3350238 3936036 6700476 7258849 12842579 14517698 21776547 25685158 29035396 38527737 43553094 51370316 77055474 87106188 154110948 166953527 333907054 500860581 667814108 1001721162 2003442324