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4434322401 = 34291887749
BaseRepresentation
bin1000010000100111…
…00110001111100001
3102110000221220210000
410020103212033201
533040141304101
62012002530213
7214613055435
oct41023461741
912400856700
104434322401
111976072063
12a39066969
135588bc512
14300cd09c5
151ae468486
hex1084e63e1

4434322401 has 20 divisors (see below), whose sum is σ = 6852532500. Its totient is φ = 2854274976.

The previous prime is 4434322357. The next prime is 4434322423. The reversal of 4434322401 is 1042234344.

It is a happy number.

4434322401 is a `hidden beast` number, since 4 + 434 + 3 + 224 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3048696225 + 1385626176 = 55215^2 + 37224^2 .

It is not a de Polignac number, because 4434322401 - 27 = 4434322273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4434322441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 941526 + ... + 946223.

It is an arithmetic number, because the mean of its divisors is an integer number (342626625).

Almost surely, 24434322401 is an apocalyptic number.

It is an amenable number.

4434322401 is a deficient number, since it is larger than the sum of its proper divisors (2418210099).

4434322401 is a wasteful number, since it uses less digits than its factorization.

4434322401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887790 (or 1887781 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4434322401 is about 66590.7080680180. The cubic root of 4434322401 is about 1642.8922788571.

Adding to 4434322401 its reverse (1042234344), we get a palindrome (5476556745).

The spelling of 4434322401 in words is "four billion, four hundred thirty-four million, three hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 1887749 5663247 16989741 50969223 54744721 152907669 164234163 492702489 1478107467 4434322401