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9974328 = 2337134567
BaseRepresentation
bin100110000011…
…001000111000
3200202202012120
4212003020320
510023134303
6553441240
7150531450
oct46031070
920682176
109974328
1156a2951
123410220
1320b2c90
141478d60
15d20553
hex983238

9974328 has 64 divisors (see below), whose sum is σ = 30696960. Its totient is φ = 2630016.

The previous prime is 9974317. The next prime is 9974333. The reversal of 9974328 is 8234799.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9974328.

It is a congruent number.

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, 100 + ... + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (479640).

Almost surely, 29974328 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 9974328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348480).

9974328 is an abundant number, since it is smaller than the sum of its proper divisors (20722632).

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

9974328 is a wasteful number, since it uses less digits than its factorization.

9974328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4592 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 9974328 is about 3158.2159520843. The cubic root of 9974328 is about 215.2589488551.

The spelling of 9974328 in words is "nine million, nine hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 4567 9134 13701 18268 27402 31969 36536 54804 59371 63938 95907 109608 118742 127876 178113 191814 237484 255752 356226 383628 415597 474968 712452 767256 831194 1246791 1424904 1662388 2493582 3324776 4987164 9974328