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9993344 = 27101773
BaseRepresentation
bin100110000111…
…110010000000
3200210201021212
4212013302000
510024241334
6554105252
7150641054
oct46076200
920721255
109993344
115706169
12341b228
1320bb82a
141481c64
15d25ece
hex987c80

9993344 has 32 divisors (see below), whose sum is σ = 20131740. Its totient is φ = 4940800.

The previous prime is 9993343. The next prime is 9993349. The reversal of 9993344 is 4433999.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 7744 = 3160^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9993341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12542 + ... + 13314.

Almost surely, 29993344 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 9993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065870).

9993344 is an abundant number, since it is smaller than the sum of its proper divisors (10138396).

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

9993344 is a wasteful number, since it uses less digits than its factorization.

9993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 876 counting only the distinct ones).

The product of its digits is 104976, while the sum is 41.

The square root of 9993344 is about 3161.2250789844. The cubic root of 9993344 is about 215.3956586698.

The spelling of 9993344 in words is "nine million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 773 808 1546 1616 3092 3232 6184 6464 12368 12928 24736 49472 78073 98944 156146 312292 624584 1249168 2498336 4996672 9993344