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3380064 = 253137257
BaseRepresentation
bin1100111001001101100000
320100201120120
430321031200
51331130224
6200240240
740505262
oct14711540
96321516
103380064
1119a9546
121170080
1391464c
1463db32
1546b779
hex339360

3380064 has 48 divisors (see below), whose sum is σ = 8972208. Its totient is φ = 1114112.

The previous prime is 3380033. The next prime is 3380089. The reversal of 3380064 is 4600833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33800642 = 22849665288192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13024 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (186921).

Almost surely, 23380064 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 3380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486104).

3380064 is an abundant number, since it is smaller than the sum of its proper divisors (5592144).

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

3380064 is a wasteful number, since it uses less digits than its factorization.

3380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3380064 is about 1838.4950367080. The cubic root of 3380064 is about 150.0749847312.

Adding to 3380064 its reverse (4600833), we get a palindrome (7980897).

The spelling of 3380064 in words is "three million, three hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 257 274 411 514 548 771 822 1028 1096 1542 1644 2056 2192 3084 3288 4112 4384 6168 6576 8224 12336 13152 24672 35209 70418 105627 140836 211254 281672 422508 563344 845016 1126688 1690032 3380064