Search a number
-
+
3424122144 = 253211889313
BaseRepresentation
bin1100110000010111…
…1111010100100000
322211122002102112200
43030011333110200
524003033402034
61323434453200
7150565362252
oct31405772440
98748072480
103424122144
1114a7911713
127b6894200
134275205a1
14246a89cd2
1515091ea99
hexcc17f520

3424122144 has 36 divisors (see below), whose sum is σ = 9737348166. Its totient is φ = 1141373952.

The previous prime is 3424122113. The next prime is 3424122151. The reversal of 3424122144 is 4412214243.

3424122144 is a `hidden beast` number, since 34 + 2 + 412 + 214 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3316377744 + 107744400 = 57588^2 + 10380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34241221442 = 23449224914062313472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5944369 + ... + 5944944.

Almost surely, 23424122144 is an apocalyptic number.

It is an amenable number.

3424122144 is an abundant number, since it is smaller than the sum of its proper divisors (6313226022).

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

3424122144 is a wasteful number, since it uses less digits than its factorization.

3424122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889329 (or 11889318 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3424122144 is about 58515.9990429968. Note that the first 3 decimals coincide. The cubic root of 3424122144 is about 1507.2423308192.

Adding to 3424122144 its reverse (4412214243), we get a palindrome (7836336387).

The spelling of 3424122144 in words is "three billion, four hundred twenty-four million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11889313 23778626 35667939 47557252 71335878 95114504 107003817 142671756 190229008 214007634 285343512 380458016 428015268 570687024 856030536 1141374048 1712061072 3424122144