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9085344 = 2531719293
BaseRepresentation
bin100010101010…
…000110100000
3122002120202020
4202222012200
54311212334
6522421440
7140136612
oct42520640
918076666
109085344
115145a54
123061880
131b61458
1412c6db2
15be6e49
hex8aa1a0

9085344 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 2691072.

The previous prime is 9085339. The next prime is 9085357. The reversal of 9085344 is 4435809.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30862 + ... + 31154.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 29085344 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 9085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

9085344 is an abundant number, since it is smaller than the sum of its proper divisors (17586336).

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

9085344 is a wasteful number, since it uses less digits than its factorization.

9085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 9085344 is about 3014.1904385755. The cubic root of 9085344 is about 208.6638063122.

The spelling of 9085344 in words is "nine million, eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 293 304 323 408 456 544 586 608 646 816 879 912 969 1172 1292 1632 1758 1824 1938 2344 2584 3516 3876 4688 4981 5168 5567 7032 7752 9376 9962 10336 11134 14064 14943 15504 16701 19924 22268 28128 29886 31008 33402 39848 44536 59772 66804 79696 89072 94639 119544 133608 159392 178144 189278 239088 267216 283917 378556 478176 534432 567834 757112 1135668 1514224 2271336 3028448 4542672 9085344