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7368361 = 7111317433
BaseRepresentation
bin11100000110111010101001
3111212100111021
4130012322221
53341241421
6421532441
7116426050
oct34067251
914770437
107368361
114182a60
122574121
1316acaa0
14d9b397
159a8341
hex706ea9

7368361 has 32 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 4976640.

The previous prime is 7368353. The next prime is 7368367. The reversal of 7368361 is 1638637.

7368361 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a 5-Lehmer number, since φ(7368361) divides (7368361-1)5.

It is a cyclic number.

It is not a de Polignac number, because 7368361 - 23 = 7368353 is a prime.

7368361 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7368367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16801 + ... + 17233.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 27368361 is an apocalyptic number.

It is an amenable number.

7368361 is a deficient number, since it is larger than the sum of its proper divisors (3130967).

7368361 is a wasteful number, since it uses less digits than its factorization.

7368361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481.

The product of its digits is 18144, while the sum is 34.

The square root of 7368361 is about 2714.4725086101. The cubic root of 7368361 is about 194.5913951157.

The spelling of 7368361 in words is "seven million, three hundred sixty-eight thousand, three hundred sixty-one".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 433 1001 1309 1547 2431 3031 4763 5629 7361 17017 33341 39403 51527 61919 80971 95693 433433 566797 669851 1052623 7368361