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3224984 = 237219433
BaseRepresentation
bin1100010011010110011000
320001211211212
430103112120
51311144414
6153042252
736261200
oct14232630
96054755
103224984
111902a84
1210b6388
1388bb99
145dd400
1543a83e
hex313598

3224984 has 48 divisors (see below), whose sum is σ = 7421400. Its totient is φ = 1306368.

The previous prime is 3224981. The next prime is 3224987. The reversal of 3224984 is 4894223.

It is an interprime number because it is at equal distance from previous prime (3224981) and next prime (3224987).

It is a d-powerful number, because it can be written as 312 + 2 + 219 + 4 + 94 + 87 + 48 .

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3224984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224981) 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, 7232 + ... + 7664.

Almost surely, 23224984 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 3224984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710700).

3224984 is an abundant number, since it is smaller than the sum of its proper divisors (4196416).

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

3224984 is a wasteful number, since it uses less digits than its factorization.

3224984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 3224984 is about 1795.8240448329. The cubic root of 3224984 is about 147.7437738527.

The spelling of 3224984 in words is "three million, two hundred twenty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 433 532 866 931 1064 1732 1862 3031 3464 3724 6062 7448 8227 12124 16454 21217 24248 32908 42434 57589 65816 84868 115178 169736 230356 403123 460712 806246 1612492 3224984