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3340064 = 257133137
BaseRepresentation
bin1100101111011100100000
320021200201002
430233130200
51323340224
6155331132
740250540
oct14573440
96250632
103340064
111981492
121150aa8
138cc390
1462d320
1545e9ae
hex32f720

3340064 has 96 divisors (see below), whose sum is σ = 8580096. Its totient is φ = 1244160.

The previous prime is 3340061. The next prime is 3340079. The reversal of 3340064 is 4600433.

It is a happy number.

3340064 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-2 number, since 2×33400642 = 22312055048192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340061) 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, 90254 + ... + 90290.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

Almost surely, 23340064 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 3340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048).

3340064 is an abundant number, since it is smaller than the sum of its proper divisors (5240032).

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

3340064 is a wasteful number, since it uses less digits than its factorization.

3340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3340064 is about 1827.5841977868. The cubic root of 3340064 is about 149.4806334275.

Adding to 3340064 its reverse (4600433), we get a palindrome (7940497).

The spelling of 3340064 in words is "three million, three hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 37 52 56 62 74 91 104 112 124 148 182 208 217 224 248 259 296 364 403 416 434 481 496 518 592 728 806 868 962 992 1036 1147 1184 1456 1612 1736 1924 2072 2294 2821 2912 3224 3367 3472 3848 4144 4588 5642 6448 6734 6944 7696 8029 8288 9176 11284 12896 13468 14911 15392 16058 18352 22568 26936 29822 32116 36704 45136 53872 59644 64232 90272 104377 107744 119288 128464 208754 238576 256928 417508 477152 835016 1670032 3340064