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3090672 = 2432132127
BaseRepresentation
bin1011110010100011110000
312211000121100
423302203300
51242400142
6150124400
735161464
oct13624360
95730540
103090672
111821082
121050700
13842a00
145a64a4
15410b4c
hex2f28f0

3090672 has 90 divisors (see below), whose sum is σ = 9439872. Its totient is φ = 943488.

The previous prime is 3090653. The next prime is 3090679. The reversal of 3090672 is 2760903.

3090672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30906723 = 88568646468261433344, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24273 + ... + 24399.

Almost surely, 23090672 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 3090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719936).

3090672 is an abundant number, since it is smaller than the sum of its proper divisors (6349200).

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

3090672 is a wasteful number, since it uses less digits than its factorization.

3090672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3090672 is about 1758.0307164552. The cubic root of 3090672 is about 145.6635776763.

The spelling of 3090672 in words is "three million, ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 169 208 234 254 312 338 381 468 507 508 624 676 762 936 1014 1016 1143 1352 1521 1524 1651 1872 2028 2032 2286 2704 3042 3048 3302 4056 4572 4953 6084 6096 6604 8112 9144 9906 12168 13208 14859 18288 19812 21463 24336 26416 29718 39624 42926 59436 64389 79248 85852 118872 128778 171704 193167 237744 257556 343408 386334 515112 772668 1030224 1545336 3090672