Search a number
-
+
2043324400 = 245213974051
BaseRepresentation
bin111100111001010…
…1010011111110000
312021101212122010111
41321302222133300
513141042340100
6534431311104
7101430653665
oct17162523760
95241778114
102043324400
11959448957
1249037b494
132674360c0
14155535a6c
15be5be6ba
hex79caa7f0

2043324400 has 120 divisors (see below), whose sum is σ = 5342529584. Its totient is φ = 746496000.

The previous prime is 2043324397. The next prime is 2043324419. The reversal of 2043324400 is 44233402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502375 + ... + 506425.

Almost surely, 22043324400 is an apocalyptic number.

2043324400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671264792).

2043324400 is an abundant number, since it is smaller than the sum of its proper divisors (3299205184).

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

2043324400 is a wasteful number, since it uses less digits than its factorization.

2043324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2043324400 is about 45203.1459082219. The cubic root of 2043324400 is about 1268.9536921300.

Adding to 2043324400 its reverse (44233402), we get a palindrome (2087557802).

The spelling of 2043324400 in words is "two billion, forty-three million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 97 100 104 130 194 200 208 260 325 388 400 485 520 650 776 970 1040 1261 1300 1552 1940 2425 2522 2600 3880 4051 4850 5044 5200 6305 7760 8102 9700 10088 12610 16204 19400 20176 20255 25220 31525 32408 38800 40510 50440 52663 63050 64816 81020 100880 101275 105326 126100 162040 202550 210652 252200 263315 324080 392947 405100 421304 504400 526630 785894 810200 842608 1053260 1316575 1571788 1620400 1964735 2106520 2633150 3143576 3929470 4213040 5108311 5266300 6287152 7858940 9823675 10216622 10532600 15717880 19647350 20433244 21065200 25541555 31435760 39294700 40866488 51083110 78589400 81732976 102166220 127707775 157178800 204332440 255415550 408664880 510831100 1021662200 2043324400