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3280984 = 237411429
BaseRepresentation
bin1100100001000001011000
320011200122221
430201001120
51314442414
6154153424
736613360
oct14410130
96150587
103280984
111941063
121122874
138ab515
146159a0
1544c224
hex321058

3280984 has 32 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 1370880.

The previous prime is 3280969. The next prime is 3281011. The reversal of 3280984 is 4890823.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

3280984 is a modest number, since divided by 984 gives 328 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1582 + ... + 3010.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 23280984 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 3280984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

3280984 is an abundant number, since it is smaller than the sum of its proper divisors (3926216).

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

3280984 is a wasteful number, since it uses less digits than its factorization.

3280984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3280984 is about 1811.3486688101. The cubic root of 3280984 is about 148.5940332611.

The spelling of 3280984 in words is "three million, two hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1429 2296 2858 5716 10003 11432 20006 40012 58589 80024 117178 234356 410123 468712 820246 1640492 3280984