Search a number
-
+
2398284 = 2232731307
BaseRepresentation
bin1001001001100001001100
311111211211100
421021201030
51103221114
6123223100
726246040
oct11114114
94454740
102398284
111398959
12977a90
1365c805
14466020
15325909
hex24984c

2398284 has 72 divisors (see below), whose sum is σ = 7175168. Its totient is φ = 660960.

The previous prime is 2398273. The next prime is 2398289. The reversal of 2398284 is 4828932.

2398284 = 2632 + 2642 + ... + 2932.

It is a super-2 number, since 2×23982842 = 11503532289312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2398289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7659 + ... + 7965.

22398284 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 2398284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587584).

2398284 is an abundant number, since it is smaller than the sum of its proper divisors (4776884).

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

2398284 is a wasteful number, since it uses less digits than its factorization.

2398284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2398284 is about 1548.6394028308. The cubic root of 2398284 is about 133.8546727710.

The spelling of 2398284 in words is "two million, three hundred ninety-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 307 372 434 558 614 651 868 921 1116 1228 1302 1842 1953 2149 2604 2763 3684 3906 4298 5526 6447 7812 8596 9517 11052 12894 19034 19341 25788 28551 38068 38682 57102 66619 77364 85653 114204 133238 171306 199857 266476 342612 399714 599571 799428 1199142 2398284