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314237 = 7211253
BaseRepresentation
bin1001100101101111101
3120222001102
41030231331
540023422
610422445
72446100
oct1145575
9528042
10314237
111a5100
12131a25
13b0051
1482737
1563192
hex4cb7d

314237 has 18 divisors (see below), whose sum is σ = 409374. Its totient is φ = 240240.

The previous prime is 314233. The next prime is 314239. The reversal of 314237 is 732413.

It can be written as a sum of positive squares in only one way, i.e., 290521 + 23716 = 539^2 + 154^2 .

It is not a de Polignac number, because 314237 - 22 = 314233 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314233) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5903 + ... + 5955.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2314237 is an apocalyptic number.

It is an amenable number.

314237 is a deficient number, since it is larger than the sum of its proper divisors (95137).

314237 is a wasteful number, since it uses less digits than its factorization.

314237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 314237 is about 560.5684614746. The cubic root of 314237 is about 67.9859399997.

It can be divided in two parts, 31423 and 7, that multiplied together give a square (219961 = 4692).

The spelling of 314237 in words is "three hundred fourteen thousand, two hundred thirty-seven".

Divisors: 1 7 11 49 53 77 121 371 539 583 847 2597 4081 5929 6413 28567 44891 314237