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916368 = 243171123
BaseRepresentation
bin11011111101110010000
31201120000120
43133232100
5213310433
631350240
710534425
oct3375620
91646016
10916368
11576532
12382380
1326113b
1419bd4c
151317b3
hexdfb90

916368 has 40 divisors (see below), whose sum is σ = 2508768. Its totient is φ = 287232.

The previous prime is 916367. The next prime is 916387. The reversal of 916368 is 863619.

It is a super-2 number, since 2×9163682 = 1679460622848, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916368.

It is not an unprimeable number, because it can be changed into a prime (916361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 1377.

2916368 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 916368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254384).

916368 is an abundant number, since it is smaller than the sum of its proper divisors (1592400).

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

916368 is a wasteful number, since it uses less digits than its factorization.

916368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 916368 is about 957.2711214698. The cubic root of 916368 is about 97.1307267766.

The spelling of 916368 in words is "nine hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1123 2246 3369 4492 6738 8984 13476 17968 19091 26952 38182 53904 57273 76364 114546 152728 229092 305456 458184 916368