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3093408 = 253223467
BaseRepresentation
bin1011110011001110100000
312211011100200
423303032200
51242442113
6150145200
735202453
oct13631640
95734320
103093408
11182313a
121052200
13844026
145a749a
15411873
hex2f33a0

3093408 has 72 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 984192.

The previous prime is 3093407. The next prime is 3093421. The reversal of 3093408 is 8043903.

3093408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3093407) 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 11 ways as a sum of consecutive naturals, for example, 6391 + ... + 6857.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 23093408 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 3093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

3093408 is an abundant number, since it is smaller than the sum of its proper divisors (6105600).

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

3093408 is a wasteful number, since it uses less digits than its factorization.

3093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3093408 is about 1758.8086877202. The cubic root of 3093408 is about 145.7065476201.

The spelling of 3093408 in words is "three million, ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 467 552 736 828 934 1104 1401 1656 1868 2208 2802 3312 3736 4203 5604 6624 7472 8406 10741 11208 14944 16812 21482 22416 32223 33624 42964 44832 64446 67248 85928 96669 128892 134496 171856 193338 257784 343712 386676 515568 773352 1031136 1546704 3093408