Search a number
-
+
7273368 = 2333151223
BaseRepresentation
bin11011101111101110011000
3111200112012000
4123233232120
53330221433
6415521000
7115552104
oct33575630
914615160
107273368
114118653
122529160
13167878b
14d74904
1598a113
hex6efb98

7273368 has 64 divisors (see below), whose sum is σ = 20428800. Its totient is φ = 2397600.

The previous prime is 7273367. The next prime is 7273379. The reversal of 7273368 is 8633727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7273363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32505 + ... + 32727.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 27273368 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 7273368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214400).

7273368 is an abundant number, since it is smaller than the sum of its proper divisors (13155432).

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

7273368 is a wasteful number, since it uses less digits than its factorization.

7273368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 7273368 is about 2696.9182412524. The cubic root of 7273368 is about 193.7515507333.

It can be divided in two parts, 727 and 3368, that added together give a triangular number (4095 = T90).

The spelling of 7273368 in words is "seven million, two hundred seventy-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 223 302 446 453 604 669 892 906 1208 1338 1359 1784 1812 2007 2676 2718 3624 4014 4077 5352 5436 6021 8028 8154 10872 12042 16056 16308 24084 32616 33673 48168 67346 101019 134692 202038 269384 303057 404076 606114 808152 909171 1212228 1818342 2424456 3636684 7273368