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297312 = 25319163
BaseRepresentation
bin1001000100101100000
3120002211120
41020211200
534003222
610212240
72345541
oct1104540
9502746
10297312
11193414
12124080
13a5432
147a4c8
155d15c
hex48960

297312 has 48 divisors (see below), whose sum is σ = 826560. Its totient is φ = 93312.

The previous prime is 297289. The next prime is 297317. The reversal of 297312 is 213792.

297312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297317) by changing a digit.

297312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743 + ... + 1905.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2297312 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 297312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413280).

297312 is an abundant number, since it is smaller than the sum of its proper divisors (529248).

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

297312 is a wasteful number, since it uses less digits than its factorization.

297312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 297312 is about 545.2632391790. The cubic root of 297312 is about 66.7427575640.

The spelling of 297312 in words is "two hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 163 228 304 326 456 489 608 652 912 978 1304 1824 1956 2608 3097 3912 5216 6194 7824 9291 12388 15648 18582 24776 37164 49552 74328 99104 148656 297312