Search a number
-
+
3356064 = 253243271
BaseRepresentation
bin1100110011010110100000
320022111122200
430303112200
51324343224
6155533200
740345305
oct14632640
96274580
103356064
111992508
12115a200
1390674a
146350ac
154645c9
hex3335a0

3356064 has 72 divisors (see below), whose sum is σ = 9801792. Its totient is φ = 1088640.

The previous prime is 3356057. The next prime is 3356081. The reversal of 3356064 is 4606533.

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

It is a super-2 number, since 2×33560642 = 22526331144192, which contains 22 as substring.

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, 12249 + ... + 12519.

It is an arithmetic number, because the mean of its divisors is an integer number (136136).

Almost surely, 23356064 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 3356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900896).

3356064 is an abundant number, since it is smaller than the sum of its proper divisors (6445728).

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

3356064 is a wasteful number, since it uses less digits than its factorization.

3356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3356064 is about 1831.9563313573. The cubic root of 3356064 is about 149.7189403655.

The spelling of 3356064 in words is "three million, three hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 271 288 344 387 516 542 688 774 813 1032 1084 1376 1548 1626 2064 2168 2439 3096 3252 4128 4336 4878 6192 6504 8672 9756 11653 12384 13008 19512 23306 26016 34959 39024 46612 69918 78048 93224 104877 139836 186448 209754 279672 372896 419508 559344 839016 1118688 1678032 3356064