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2307361 = 74312
BaseRepresentation
bin1000110011010100100001
311100020002211
420303110201
51042313421
6121242121
725420000
oct10632441
94306084
102307361
111336611
12933341
1362a304
14440c37
153089e1
hex233521

2307361 has 15 divisors (see below), whose sum is σ = 2781393. Its totient is φ = 1913940.

The previous prime is 2307307. The next prime is 2307367. The reversal of 2307361 is 1637032.

The square root of 2307361 is 1519.

It is a perfect power (a square), and thus also a powerful number.

2307361 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 2307361 - 27 = 2307233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2307367) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 74416 + ... + 74446.

22307361 is an apocalyptic number.

2307361 is the 1519-th square number and also the 961-st heptagonal number.

2307361 is the 760-th centered octagonal number.

It is an amenable number.

2307361 is a deficient number, since it is larger than the sum of its proper divisors (474032).

2307361 is an frugal number, since it uses more digits than its factorization.

2307361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The cubic root of 2307361 is about 132.1412820015.

The spelling of 2307361 in words is "two million, three hundred seven thousand, three hundred sixty-one".

Divisors: 1 7 31 49 217 343 961 1519 2401 6727 10633 47089 74431 329623 2307361