Search a number
-
+
3320928 = 253213887
BaseRepresentation
bin1100101010110001100000
320020201110100
430222301200
51322232203
6155102400
740141002
oct14526140
96221410
103320928
111969076
121141a00
138c3760
14626372
15458ea3
hex32ac60

3320928 has 72 divisors (see below), whose sum is σ = 10181808. Its totient is φ = 1020672.

The previous prime is 3320909. The next prime is 3320939. The reversal of 3320928 is 8290233.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33209282 = 22057125562368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3301 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (141414).

Almost surely, 23320928 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 3320928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090904).

3320928 is an abundant number, since it is smaller than the sum of its proper divisors (6860880).

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

3320928 is a wasteful number, since it uses less digits than its factorization.

3320928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3320928 is about 1822.3413511195. The cubic root of 3320928 is about 149.1946167919.

The spelling of 3320928 in words is "three million, three hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 887 936 1248 1774 1872 2661 3548 3744 5322 7096 7983 10644 11531 14192 15966 21288 23062 28384 31932 34593 42576 46124 63864 69186 85152 92248 103779 127728 138372 184496 207558 255456 276744 368992 415116 553488 830232 1106976 1660464 3320928