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8344812 = 2237412423
BaseRepresentation
bin11111110101010011101100
3120200221221010
4133311103230
54114013222
6454505220
7130633620
oct37652354
916627833
108344812
11478a643
122965210
131962378
141173180
15aec80c
hex7f54ec

8344812 has 48 divisors (see below), whose sum is σ = 22804992. Its totient is φ = 2325120.

The previous prime is 8344811. The next prime is 8344829. The reversal of 8344812 is 2184438.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8344812.

It is not an unprimeable number, because it can be changed into a prime (8344811) 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, 2233 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (475104).

Almost surely, 28344812 is an apocalyptic number.

8344812 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8344812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402496).

8344812 is an abundant number, since it is smaller than the sum of its proper divisors (14460180).

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

8344812 is a wasteful number, since it uses less digits than its factorization.

8344812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2476 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 8344812 is about 2888.7388251623. The cubic root of 8344812 is about 202.8331112368.

The spelling of 8344812 in words is "eight million, three hundred forty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 2423 3444 4846 7269 9692 14538 16961 29076 33922 50883 67844 99343 101766 198686 203532 298029 397372 596058 695401 1192116 1390802 2086203 2781604 4172406 8344812