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9097344 = 273253149
BaseRepresentation
bin100010101101…
…000010000000
3122010012012200
4202231002000
54312103334
6522553200
7140216604
oct42550200
918105180
109097344
115153a73
123068800
131b66a59
1412cb504
15bea799
hex8ad080

9097344 has 96 divisors (see below), whose sum is σ = 26851500. Its totient is φ = 2955264.

The previous prime is 9097307. The next prime is 9097349. The reversal of 9097344 is 4437909.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 97344 = 3000^2 + 312^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 9097299 and 9097308.

It is not an unprimeable number, because it can be changed into a prime (9097349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60982 + ... + 61130.

Almost surely, 29097344 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 9097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425750).

9097344 is an abundant number, since it is smaller than the sum of its proper divisors (17754156).

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

9097344 is a wasteful number, since it uses less digits than its factorization.

9097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9097344 is about 3016.1803659596. The cubic root of 9097344 is about 208.7556342080.

The spelling of 9097344 in words is "nine million, ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 149 159 192 212 288 298 318 384 424 447 477 576 596 636 848 894 954 1152 1192 1272 1341 1696 1788 1908 2384 2544 2682 3392 3576 3816 4768 5088 5364 6784 7152 7632 7897 9536 10176 10728 14304 15264 15794 19072 20352 21456 23691 28608 30528 31588 42912 47382 57216 61056 63176 71073 85824 94764 126352 142146 171648 189528 252704 284292 379056 505408 568584 758112 1010816 1137168 1516224 2274336 3032448 4548672 9097344