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8294364 = 22321337479
BaseRepresentation
bin11111101000111111011100
3120121101201200
4133220333130
54110404424
6453435500
7130333551
oct37507734
916541650
108294364
114755751
12293bb90
131945410
14115ca28
15adc8c9
hex7e8fdc

8294364 has 72 divisors (see below), whose sum is σ = 23237760. Its totient is φ = 2477952.

The previous prime is 8294359. The next prime is 8294369. The reversal of 8294364 is 4634928.

8294364 = T651 + T652 + ... + T687.

It is a happy number.

8294364 is a `hidden beast` number, since 8 + 294 + 364 = 666.

It is an interprime number because it is at equal distance from previous prime (8294359) and next prime (8294369).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 83 + 221 + 97 + 48 + 39 + 67 + 410 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8294369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17077 + ... + 17555.

Almost surely, 28294364 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 8294364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618880).

8294364 is an abundant number, since it is smaller than the sum of its proper divisors (14943396).

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

8294364 is a wasteful number, since it uses less digits than its factorization.

8294364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 534 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 8294364 is about 2879.9937499932. The cubic root of 8294364 is about 202.4235468134.

Adding to 8294364 its sum of digits (36), we get a square (8294400 = 28802).

The spelling of 8294364 in words is "eight million, two hundred ninety-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 479 481 666 958 962 1332 1437 1443 1916 1924 2874 2886 4311 4329 5748 5772 6227 8622 8658 12454 17244 17316 17723 18681 24908 35446 37362 53169 56043 70892 74724 106338 112086 159507 212676 224172 230399 319014 460798 638028 691197 921596 1382394 2073591 2764788 4147182 8294364