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8444394 = 2327292311
BaseRepresentation
bin100000001101…
…100111101010
3120220000112100
4200031213222
54130210034
6500554230
7131530140
oct40154752
916800470
108444394
114848442
1229b2976
1319987aa
14119b590
15b1c099
hex80d9ea

8444394 has 48 divisors (see below), whose sum is σ = 21640320. Its totient is φ = 2328480.

The previous prime is 8444363. The next prime is 8444407. The reversal of 8444394 is 4934448.

It is a d-powerful number, because it can be written as 85 + 43 + 47 + 411 + 38 + 9 + 411 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2499 + ... + 4809.

It is an arithmetic number, because the mean of its divisors is an integer number (450840).

Almost surely, 28444394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8444394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820160).

8444394 is an abundant number, since it is smaller than the sum of its proper divisors (13195926).

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

8444394 is a wasteful number, since it uses less digits than its factorization.

8444394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2352 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 8444394 is about 2905.9239494522. The cubic root of 8444394 is about 203.6367526542.

The spelling of 8444394 in words is "eight million, four hundred forty-four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 2311 3654 4622 6933 13866 16177 20799 32354 41598 48531 67019 97062 134038 145593 201057 291186 402114 469133 603171 938266 1206342 1407399 2814798 4222197 8444394