Search a number
-
+
2438730 = 23257379
BaseRepresentation
bin1001010011011001001010
311120220022100
421103121022
51111014410
6124134230
726505000
oct11233112
94526270
102438730
111416288
12997376
13675048
14476a70
153328c0
hex25364a

2438730 has 96 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 550368.

The previous prime is 2438717. The next prime is 2438767. The reversal of 2438730 is 378342.

It is a junction number, because it is equal to n+sod(n) for n = 2438694 and 2438703.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30831 + ... + 30909.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

22438730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2438730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2438730 is an abundant number, since it is smaller than the sum of its proper divisors (5049270).

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

2438730 is a wasteful number, since it uses less digits than its factorization.

2438730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2438730 is about 1561.6433651766. The cubic root of 2438730 is about 134.6029485948.

The spelling of 2438730 in words is "two million, four hundred thirty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 79 90 98 105 126 147 158 210 237 245 294 315 343 395 441 474 490 553 630 686 711 735 790 882 1029 1106 1185 1422 1470 1659 1715 2058 2205 2370 2765 3087 3318 3430 3555 3871 4410 4977 5145 5530 6174 7110 7742 8295 9954 10290 11613 15435 16590 19355 23226 24885 27097 30870 34839 38710 49770 54194 58065 69678 81291 116130 135485 162582 174195 243873 270970 348390 406455 487746 812910 1219365 2438730