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3301408 = 251183113
BaseRepresentation
bin1100100110000000100000
320012201200101
430212000200
51321121113
6154432144
740030045
oct14460040
96181611
103301408
111955440
121132654
138b78c6
1461d1cc
154532dd
hex326020

3301408 has 48 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 1469440.

The previous prime is 3301391. The next prime is 3301409. The reversal of 3301408 is 8041033.

It is not an unprimeable number, because it can be changed into a prime (3301409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29160 + ... + 29272.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 23301408 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 3301408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

3301408 is an abundant number, since it is smaller than the sum of its proper divisors (3938048).

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

3301408 is a wasteful number, since it uses less digits than its factorization.

3301408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3301408 is about 1816.9777103751. The cubic root of 3301408 is about 148.9017264081.

The spelling of 3301408 in words is "three million, three hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 113 166 176 226 332 352 452 664 904 913 1243 1328 1808 1826 2486 2656 3616 3652 4972 7304 9379 9944 14608 18758 19888 29216 37516 39776 75032 103169 150064 206338 300128 412676 825352 1650704 3301408