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440374541 = 2954128069
BaseRepresentation
bin11010001111111…
…001010100001101
31010200122100022012
4122033321110031
51400213441131
6111410431005
713625056535
oct3217712415
91120570265
10440374541
11206641a02
12103592465
1370309769
14426b44c5
15289db52b
hex1a3f950d

440374541 has 8 divisors (see below), whose sum is σ = 456418200. Its totient is φ = 424388160.

The previous prime is 440374523. The next prime is 440374553. The reversal of 440374541 is 145473044.

It can be written as a sum of positive squares in 4 ways, for example, as 8940100 + 431434441 = 2990^2 + 20771^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 440374541 - 226 = 373265677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 440374498 and 440374507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440373541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1655 + ... + 29723.

It is an arithmetic number, because the mean of its divisors is an integer number (57052275).

Almost surely, 2440374541 is an apocalyptic number.

It is an amenable number.

440374541 is a deficient number, since it is larger than the sum of its proper divisors (16043659).

440374541 is a wasteful number, since it uses less digits than its factorization.

440374541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28639.

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 440374541 is about 20985.1028351066. The cubic root of 440374541 is about 760.8062433122.

The spelling of 440374541 in words is "four hundred forty million, three hundred seventy-four thousand, five hundred forty-one".

Divisors: 1 29 541 15689 28069 814001 15185329 440374541