Search a number
-
+
3486912 = 2631113127
BaseRepresentation
bin1101010011010011000000
320120011010220
431103103000
51343040122
6202423040
741431632
oct15232300
96504126
103486912
111a71850
121201a80
13951180
1466aa52
1548d25c
hex3534c0

3486912 has 112 divisors (see below), whose sum is σ = 10924032. Its totient is φ = 967680.

The previous prime is 3486907. The next prime is 3486919. The reversal of 3486912 is 2196843.

3486912 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3486919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27393 + ... + 27519.

It is an arithmetic number, because the mean of its divisors is an integer number (97536).

Almost surely, 23486912 is an apocalyptic number.

3486912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462016).

3486912 is an abundant number, since it is smaller than the sum of its proper divisors (7437120).

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

3486912 is a wasteful number, since it uses less digits than its factorization.

3486912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3486912 is about 1867.3275020735. The cubic root of 3486912 is about 151.6399604120.

It can be divided in two parts, 348 and 6912, that added together give a triangular number (7260 = T120).

The spelling of 3486912 in words is "three million, four hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 127 132 143 156 176 192 208 254 264 286 312 352 381 416 429 508 528 572 624 704 762 832 858 1016 1056 1144 1248 1397 1524 1651 1716 2032 2112 2288 2496 2794 3048 3302 3432 4064 4191 4576 4953 5588 6096 6604 6864 8128 8382 9152 9906 11176 12192 13208 13728 16764 18161 19812 22352 24384 26416 27456 33528 36322 39624 44704 52832 54483 67056 72644 79248 89408 105664 108966 134112 145288 158496 217932 268224 290576 316992 435864 581152 871728 1162304 1743456 3486912