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8322264 = 23361427
BaseRepresentation
bin11111101111110011011000
3120122211000000
4133233303120
54112303024
6454213000
7130511106
oct37576330
916584000
108322264
114774705
122954160
131955022
141168c76
15ae5cc9
hex7efcd8

8322264 has 56 divisors (see below), whose sum is σ = 23412060. Its totient is φ = 2772144.

The previous prime is 8322257. The next prime is 8322269. The reversal of 8322264 is 4622238.

8322264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8322269) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5119 + ... + 6545.

Almost surely, 28322264 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 8322264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706030).

8322264 is an abundant number, since it is smaller than the sum of its proper divisors (15089796).

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

8322264 is a wasteful number, since it uses less digits than its factorization.

8322264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1432 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 8322264 is about 2884.8334440657. The cubic root of 8322264 is about 202.6502588479.

The spelling of 8322264 in words is "eight million, three hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1427 1458 1944 2854 2916 4281 5708 5832 8562 11416 12843 17124 25686 34248 38529 51372 77058 102744 115587 154116 231174 308232 346761 462348 693522 924696 1040283 1387044 2080566 2774088 4161132 8322264