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2003328 = 27323747
BaseRepresentation
bin111101001000110000000
310202210001100
413221012000
51003101303
6110534400
723012415
oct7510600
93683040
102003328
111149148
12807400
13551b02
143a210c
152988a3
hex1e9180

2003328 has 96 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 635904.

The previous prime is 2003321. The next prime is 2003329. The reversal of 2003328 is 8233002.

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 (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2003328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42601 + ... + 42647.

It is an arithmetic number, because the mean of its divisors is an integer number (62985).

22003328 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 2003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023280).

2003328 is an abundant number, since it is smaller than the sum of its proper divisors (4043232).

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

2003328 is a wasteful number, since it uses less digits than its factorization.

2003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2003328 is about 1415.3896989875. The cubic root of 2003328 is about 126.0619498841.

The spelling of 2003328 in words is "two million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 47 48 64 72 74 94 96 111 128 141 144 148 188 192 222 282 288 296 333 376 384 423 444 564 576 592 666 752 846 888 1128 1152 1184 1332 1504 1692 1739 1776 2256 2368 2664 3008 3384 3478 3552 4512 4736 5217 5328 6016 6768 6956 7104 9024 10434 10656 13536 13912 14208 15651 18048 20868 21312 27072 27824 31302 41736 42624 54144 55648 62604 83472 111296 125208 166944 222592 250416 333888 500832 667776 1001664 2003328