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3423888 = 2432133159
BaseRepresentation
bin1101000011111010010000
320102221200200
431003322100
51334031023
6201215200
741050116
oct15037220
96387620
103423888
111a29466
121191500
1392b590
14651ab6
15479743
hex343e90

3423888 has 120 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 1002240.

The previous prime is 3423881. The next prime is 3423899. The reversal of 3423888 is 8883243.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3423881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58003 + ... + 58061.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 23423888 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 3423888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3423888 is an abundant number, since it is smaller than the sum of its proper divisors (7408752).

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

3423888 is a wasteful number, since it uses less digits than its factorization.

3423888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3423888 is about 1850.3750971087. The cubic root of 3423888 is about 150.7207974588.

The spelling of 3423888 in words is "three million, four hundred twenty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 59 62 72 78 93 104 117 118 124 144 156 177 186 208 234 236 248 279 312 354 372 403 468 472 496 531 558 624 708 744 767 806 936 944 1062 1116 1209 1416 1488 1534 1612 1829 1872 2124 2232 2301 2418 2832 3068 3224 3627 3658 4248 4464 4602 4836 5487 6136 6448 6903 7254 7316 8496 9204 9672 10974 12272 13806 14508 14632 16461 18408 19344 21948 23777 27612 29016 29264 32922 36816 43896 47554 55224 58032 65844 71331 87792 95108 110448 131688 142662 190216 213993 263376 285324 380432 427986 570648 855972 1141296 1711944 3423888