Search a number
-
+
288902328 = 233111384179
BaseRepresentation
bin10001001110000…
…100110010111000
3202010121202111020
4101032010302320
51042424333303
644400102440
710105425561
oct2116046270
9663552436
10288902328
11139094660
1280904a20
1347b13730
142a525168
151a56aa53
hex11384cb8

288902328 has 64 divisors (see below), whose sum is σ = 848534400. Its totient is φ = 80810880.

The previous prime is 288902323. The next prime is 288902431. The reversal of 288902328 is 823209882.

288902328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 288902328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288902323) 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, 38658 + ... + 45521.

It is an arithmetic number, because the mean of its divisors is an integer number (13258350).

Almost surely, 2288902328 is an apocalyptic number.

It is an amenable number.

288902328 is an abundant number, since it is smaller than the sum of its proper divisors (559632072).

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

288902328 is a wasteful number, since it uses less digits than its factorization.

288902328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84212 (or 84208 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 288902328 is about 16997.1270513578. The cubic root of 288902328 is about 661.0744116362.

The spelling of 288902328 in words is "two hundred eighty-eight million, nine hundred two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 84179 168358 252537 336716 505074 673432 925969 1010148 1094327 1851938 2020296 2188654 2777907 3282981 3703876 4377308 5555814 6565962 7407752 8754616 11111628 12037597 13131924 22223256 24075194 26263848 36112791 48150388 72225582 96300776 144451164 288902328