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9993340 = 2257411741
BaseRepresentation
bin100110000111…
…110001111100
3200210201021201
4212013301330
510024241330
6554105244
7150641050
oct46076174
920721251
109993340
115706165
12341b224
1320bb826
141481c60
15d25eca
hex987c7c

9993340 has 48 divisors (see below), whose sum is σ = 24583104. Its totient is φ = 3340800.

The previous prime is 9993337. The next prime is 9993341. The reversal of 9993340 is 433999.

It is a self number, because there is not a number n which added to its sum of digits gives 9993340.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4870 + ... + 6610.

It is an arithmetic number, because the mean of its divisors is an integer number (512148).

Almost surely, 29993340 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 9993340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291552).

9993340 is an abundant number, since it is smaller than the sum of its proper divisors (14589764).

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

9993340 is a wasteful number, since it uses less digits than its factorization.

9993340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 9993340 is about 3161.2244463182. The cubic root of 9993340 is about 215.3956299312.

It can be divided in two parts, 99 and 93340, that added together give a palindrome (93439).

The spelling of 9993340 in words is "nine million, nine hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1741 2870 3482 5740 6964 8705 12187 17410 24374 34820 48748 60935 71381 121870 142762 243740 285524 356905 499667 713810 999334 1427620 1998668 2498335 4996670 9993340