Search a number
-
+
288439830 = 232573531297
BaseRepresentation
bin10001001100010…
…011111000010110
3202002202021001200
4101030103320112
51042320033310
644342133330
710101461310
oct2114237026
9662667050
10288439830
111388a9128
1280721246
13479b1073
142a4447b0
151a4c89c0
hex11313e16

288439830 has 96 divisors (see below), whose sum is σ = 860169024. Its totient is φ = 65691648.

The previous prime is 288439819. The next prime is 288439831. The reversal of 288439830 is 38934882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288439831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221742 + ... + 223038.

It is an arithmetic number, because the mean of its divisors is an integer number (8960094).

Almost surely, 2288439830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288439830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430084512).

288439830 is an abundant number, since it is smaller than the sum of its proper divisors (571729194).

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

288439830 is a wasteful number, since it uses less digits than its factorization.

288439830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 288439830 is about 16983.5164203412. The cubic root of 288439830 is about 660.7214562567.

The spelling of 288439830 in words is "two hundred eighty-eight million, four hundred thirty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 353 630 706 1059 1297 1765 2118 2471 2594 3177 3530 3891 4942 5295 6354 6485 7413 7782 9079 10590 11673 12355 12970 14826 15885 18158 19455 22239 23346 24710 27237 31770 37065 38910 44478 45395 54474 58365 74130 81711 90790 111195 116730 136185 163422 222390 272370 408555 457841 817110 915682 1373523 2289205 2747046 3204887 4120569 4578410 6409774 6867615 8241138 9614661 13735230 16024435 19229322 20602845 28843983 32048870 41205690 48073305 57687966 96146610 144219915 288439830