Search a number
-
+
3090816 = 27322683
BaseRepresentation
bin1011110010100110000000
312211000210200
423302212000
51242401231
6150125200
735162061
oct13624600
95730720
103090816
1118211a3
121050800
13842ab1
145a6568
15410be6
hex2f2980

3090816 has 48 divisors (see below), whose sum is σ = 8897460. Its totient is φ = 1029888.

The previous prime is 3090781. The next prime is 3090817. The reversal of 3090816 is 6180903.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3090816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190 + ... + 2493.

Almost surely, 23090816 is an apocalyptic number.

3090816 is a gapful number since it is divisible by the number (36) 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 3090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448730).

3090816 is an abundant number, since it is smaller than the sum of its proper divisors (5806644).

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

3090816 is a wasteful number, since it uses less digits than its factorization.

3090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3090816 is about 1758.0716708940. The cubic root of 3090816 is about 145.6658398844.

The spelling of 3090816 in words is "three million, ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2683 5366 8049 10732 16098 21464 24147 32196 42928 48294 64392 85856 96588 128784 171712 193176 257568 343424 386352 515136 772704 1030272 1545408 3090816