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3392064 = 263313151
BaseRepresentation
bin1100111100001001000000
320101100001000
430330021000
51332021224
6200412000
740555254
oct14741100
96340030
103392064
111a07565
121177000
13919c50
14644264
154700c9
hex33c240

3392064 has 112 divisors (see below), whose sum is σ = 10810240. Its totient is φ = 1036800.

The previous prime is 3392047. The next prime is 3392069. The reversal of 3392064 is 4602933.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3392069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22389 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (96520).

Almost surely, 23392064 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 3392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405120).

3392064 is an abundant number, since it is smaller than the sum of its proper divisors (7418176).

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

3392064 is a wasteful number, since it uses less digits than its factorization.

3392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3392064 is about 1841.7556841232. The cubic root of 3392064 is about 150.2523751404.

Adding to 3392064 its reverse (4602933), we get a palindrome (7994997).

The spelling of 3392064 in words is "three million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 151 156 192 208 216 234 288 302 312 351 416 432 453 468 576 604 624 702 832 864 906 936 1208 1248 1359 1404 1728 1812 1872 1963 2416 2496 2718 2808 3624 3744 3926 4077 4832 5436 5616 5889 7248 7488 7852 8154 9664 10872 11232 11778 14496 15704 16308 17667 21744 22464 23556 28992 31408 32616 35334 43488 47112 53001 62816 65232 70668 86976 94224 106002 125632 130464 141336 188448 212004 260928 282672 376896 424008 565344 848016 1130688 1696032 3392064