Search a number
-
+
5303368 = 237283163
BaseRepresentation
bin10100001110110001001000
3100222102212001
4110032301020
52324201433
6305400344
763035500
oct24166110
910872761
105303368
112aa2554
1219390b4
131138bb5
149c0a00
156eb57d
hex50ec48

5303368 has 48 divisors (see below), whose sum is σ = 11778480. Its totient is φ = 2231712.

The previous prime is 5303341. The next prime is 5303383. The reversal of 5303368 is 8633035.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32455 + ... + 32617.

It is an arithmetic number, because the mean of its divisors is an integer number (245385).

Almost surely, 25303368 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 5303368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889240).

5303368 is an abundant number, since it is smaller than the sum of its proper divisors (6475112).

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

5303368 is a wasteful number, since it uses less digits than its factorization.

5303368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 5303368 is about 2302.9042533288. The cubic root of 5303368 is about 174.3882640870.

It can be divided in two parts, 5303 and 368, that added together give a triangular number (5671 = T106).

The spelling of 5303368 in words is "five million, three hundred three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 163 166 196 326 332 392 581 652 664 1141 1162 1304 2282 2324 4067 4564 4648 7987 8134 9128 13529 15974 16268 27058 31948 32536 54116 63896 94703 108232 189406 378812 662921 757624 1325842 2651684 5303368