Search a number
-
+
2027023344 = 243283181937
BaseRepresentation
bin111100011010001…
…1110101111110000
312020021012110021200
41320310132233300
513122404221334
6533050051200
7101142262023
oct17064365760
95207173250
102027023344
11950224705
12486a19b00
13263c494c8
141532d11ba
15bce4e799
hex78d1ebf0

2027023344 has 120 divisors (see below), whose sum is σ = 5779078032. Its totient is φ = 663137280.

The previous prime is 2027023337. The next prime is 2027023357. The reversal of 2027023344 is 4433207202.

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, 2162844 + ... + 2163780.

Almost surely, 22027023344 is an apocalyptic number.

2027023344 is a gapful number since it is divisible by the number (24) 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 2027023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889539016).

2027023344 is an abundant number, since it is smaller than the sum of its proper divisors (3752054688).

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

2027023344 is a wasteful number, since it uses less digits than its factorization.

2027023344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2027023344 is about 45022.4759870001. The cubic root of 2027023344 is about 1265.5702291506.

The spelling of 2027023344 in words is "two billion, twenty-seven million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 181 249 332 362 498 543 664 724 747 937 996 1086 1328 1448 1494 1629 1874 1992 2172 2811 2896 2988 3258 3748 3984 4344 5622 5976 6516 7496 8433 8688 11244 11952 13032 14992 15023 16866 22488 26064 30046 33732 44976 45069 60092 67464 77771 90138 120184 134928 135207 155542 169597 180276 233313 240368 270414 311084 339194 360552 466626 508791 540828 622168 678388 699939 721104 933252 1017582 1081656 1244336 1356776 1399878 1526373 1866504 2035164 2163312 2713552 2799756 3052746 3733008 4070328 5599512 6105492 8140656 11199024 12210984 14076551 24421968 28153102 42229653 56306204 84459306 112612408 126688959 168918612 225224816 253377918 337837224 506755836 675674448 1013511672 2027023344