Search a number
-
+
3408000 = 2735371
BaseRepresentation
bin1101000000000010000000
320102010220020
431000002000
51333024000
6201013440
740652601
oct15000200
96363806
103408000
111a18532
121184280
1392428b
14649da8
15474ba0
hex340080

3408000 has 128 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 896000.

The previous prime is 3407983. The next prime is 3408001. The reversal of 3408000 is 8043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34080002 = 23228928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408001) 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, 47965 + ... + 48035.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

Almost surely, 23408000 is an apocalyptic number.

3408000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

3408000 is an abundant number, since it is smaller than the sum of its proper divisors (8048640).

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

3408000 is an equidigital number, since it uses as much as digits as its factorization.

3408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3408000 is about 1846.0769214743. The cubic root of 3408000 is about 150.4873040728.

The spelling of 3408000 in words is "three million, four hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 71 75 80 96 100 120 125 128 142 150 160 192 200 213 240 250 284 300 320 355 375 384 400 426 480 500 568 600 640 710 750 800 852 960 1000 1065 1136 1200 1420 1500 1600 1704 1775 1920 2000 2130 2272 2400 2840 3000 3200 3408 3550 4000 4260 4544 4800 5325 5680 6000 6816 7100 8000 8520 8875 9088 9600 10650 11360 12000 13632 14200 16000 17040 17750 21300 22720 24000 26625 27264 28400 34080 35500 42600 45440 48000 53250 56800 68160 71000 85200 106500 113600 136320 142000 170400 213000 227200 284000 340800 426000 568000 681600 852000 1136000 1704000 3408000