Search a number
-
+
2424203328 = 263591731237
BaseRepresentation
bin1001000001111110…
…0110100001000000
320020221120021210110
42100133212201000
514431044001303
61040315031320
7114034250121
oct22037464100
96227507713
102424203328
111034443928
12577a3b540
132c8311351
1418dd60048
15e2c57703
hex907e6840

2424203328 has 112 divisors (see below), whose sum is σ = 6565757760. Its totient is φ = 789141504.

The previous prime is 2424203323. The next prime is 2424203347. The reversal of 2424203328 is 8233024242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2424203295 and 2424203304.

It is not an unprimeable number, because it can be changed into a prime (2424203323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959126 + ... + 1960362.

Almost surely, 22424203328 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 2424203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282878880).

2424203328 is an abundant number, since it is smaller than the sum of its proper divisors (4141554432).

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

2424203328 is a wasteful number, since it uses less digits than its factorization.

2424203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2424203328 is about 49236.1993659137. The cubic root of 2424203328 is about 1343.3515508506.

The spelling of 2424203328 in words is "two billion, four hundred twenty-four million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 173 177 192 236 346 354 472 519 692 708 944 1038 1237 1384 1416 1888 2076 2474 2768 2832 3711 3776 4152 4948 5536 5664 7422 8304 9896 10207 11072 11328 14844 16608 19792 20414 29688 30621 33216 39584 40828 59376 61242 72983 79168 81656 118752 122484 145966 163312 214001 218949 237504 244968 291932 326624 428002 437898 489936 583864 642003 653248 856004 875796 979872 1167728 1284006 1712008 1751592 1959744 2335456 2568012 3424016 3503184 4670912 5136024 6848032 7006368 10272048 12626059 13696064 14012736 20544096 25252118 37878177 41088192 50504236 75756354 101008472 151512708 202016944 303025416 404033888 606050832 808067776 1212101664 2424203328