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296712 = 233213317
BaseRepresentation
bin1001000011100001000
3120002000100
41020130020
533443322
610205400
72344023
oct1103410
9502010
10296712
11192a19
12123860
13a5090
147a1ba
155cdac
hex48708

296712 has 48 divisors (see below), whose sum is σ = 868140. Its totient is φ = 91008.

The previous prime is 296693. The next prime is 296713. The reversal of 296712 is 217692.

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 60516 = 486^2 + 246^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 296712.

It is not an unprimeable number, because it can be changed into a prime (296713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778 + ... + 1094.

2296712 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 296712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434070).

296712 is an abundant number, since it is smaller than the sum of its proper divisors (571428).

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

296712 is a wasteful number, since it uses less digits than its factorization.

296712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 296712 is about 544.7127683468. The cubic root of 296712 is about 66.6978298750.

The spelling of 296712 in words is "two hundred ninety-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 317 468 634 936 951 1268 1902 2536 2853 3804 4121 5706 7608 8242 11412 12363 16484 22824 24726 32968 37089 49452 74178 98904 148356 296712