Search a number
-
+
3356080 = 245713461
BaseRepresentation
bin1100110011010110110000
320022111200021
430303112300
51324343310
6155533224
740345330
oct14632660
96274607
103356080
111992522
12115a214
13906760
146350c0
154645da
hex3335b0

3356080 has 80 divisors (see below), whose sum is σ = 9624384. Its totient is φ = 1059840.

The previous prime is 3356057. The next prime is 3356081. The reversal of 3356080 is 806533.

3356080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33560802 = 22526545932800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3356081) 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 15 ways as a sum of consecutive naturals, for example, 7050 + ... + 7510.

Almost surely, 23356080 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 3356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812192).

3356080 is an abundant number, since it is smaller than the sum of its proper divisors (6268304).

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

3356080 is a wasteful number, since it uses less digits than its factorization.

3356080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3356080 is about 1831.9606982684. The cubic root of 3356080 is about 149.7191782929.

The spelling of 3356080 in words is "three million, three hundred fifty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 461 520 560 728 910 922 1040 1456 1820 1844 2305 3227 3640 3688 4610 5993 6454 7280 7376 9220 11986 12908 16135 18440 23972 25816 29965 32270 36880 41951 47944 51632 59930 64540 83902 95888 119860 129080 167804 209755 239720 258160 335608 419510 479440 671216 839020 1678040 3356080