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400731444 = 223297114757
BaseRepresentation
bin10111111000101…
…010110100110100
31000221001021012100
4113320222310310
51310041401234
6103433022100
712634106151
oct2770526464
91027037170
10400731444
11196225513
12b2254930
13650394c9
143b315228
15252aa399
hex17e2ad34

400731444 has 36 divisors (see below), whose sum is σ = 1023411844. Its totient is φ = 132198912.

The previous prime is 400731433. The next prime is 400731449. The reversal of 400731444 is 444137004.

It can be written as a sum of positive squares in 2 ways, for example, as 209960100 + 190771344 = 14490^2 + 13812^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400731449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53887 + ... + 60870.

Almost surely, 2400731444 is an apocalyptic number.

It is an amenable number.

400731444 is an abundant number, since it is smaller than the sum of its proper divisors (622680400).

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

400731444 is a wasteful number, since it uses less digits than its factorization.

400731444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114864 (or 114859 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 400731444 is about 20018.2777480981. The cubic root of 400731444 is about 737.2551367125.

Adding to 400731444 its reverse (444137004), we get a palindrome (844868448).

The spelling of 400731444 in words is "four hundred million, seven hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 114757 229514 344271 459028 688542 1032813 1377084 2065626 4131252 11131429 22262858 33394287 44525716 66788574 100182861 133577148 200365722 400731444