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3280900 = 2252743109
BaseRepresentation
bin1100100001000000000100
320011200112211
430201000010
51314442100
6154153204
736613210
oct14410004
96150484
103280900
111940a97
121122804
138ab47c
14615940
1544c1ba
hex321004

3280900 has 72 divisors (see below), whose sum is σ = 8402240. Its totient is φ = 1088640.

The previous prime is 3280897. The next prime is 3280903. The reversal of 3280900 is 90823.

It is an interprime number because it is at equal distance from previous prime (3280897) and next prime (3280903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30046 + ... + 30154.

Almost surely, 23280900 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 3280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201120).

3280900 is an abundant number, since it is smaller than the sum of its proper divisors (5121340).

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

3280900 is a wasteful number, since it uses less digits than its factorization.

3280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3280900 is about 1811.3254815190. The cubic root of 3280900 is about 148.5927651450.

The spelling of 3280900 in words is "three million, two hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 109 140 172 175 215 218 301 350 430 436 545 602 700 763 860 1075 1090 1204 1505 1526 2150 2180 2725 3010 3052 3815 4300 4687 5450 6020 7525 7630 9374 10900 15050 15260 18748 19075 23435 30100 32809 38150 46870 65618 76300 93740 117175 131236 164045 234350 328090 468700 656180 820225 1640450 3280900