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1454400324 = 22321314920857
BaseRepresentation
bin101011010110000…
…0110001101000100
310202100201012011200
41112230012031010
510434311302244
6400152502500
751020125116
oct12654061504
93670635150
101454400324
11686a75543
123470aaa30
131a2417a10
14db2333b6
1587a3d669
hex56b06344

1454400324 has 72 divisors (see below), whose sum is σ = 3985963800. Its totient is φ = 444483072.

The previous prime is 1454400313. The next prime is 1454400347. The reversal of 1454400324 is 4230044541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 123609924 + 1330790400 = 11118^2 + 36480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59304 + ... + 80160.

Almost surely, 21454400324 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 1454400324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992981900).

1454400324 is an abundant number, since it is smaller than the sum of its proper divisors (2531563476).

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

1454400324 is a wasteful number, since it uses less digits than its factorization.

1454400324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21029 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1454400324 is about 38136.6008448577. The cubic root of 1454400324 is about 1132.9949850040.

Adding to 1454400324 its reverse (4230044541), we get a palindrome (5684444865).

The spelling of 1454400324 in words is "one billion, four hundred fifty-four million, four hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1788 1937 2682 3874 5364 5811 7748 11622 17433 20857 23244 34866 41714 62571 69732 83428 125142 187713 250284 271141 375426 542282 750852 813423 1084564 1626846 2440269 3107693 3253692 4880538 6215386 9323079 9761076 12430772 18646158 27969237 37292316 40400009 55938474 80800018 111876948 121200027 161600036 242400054 363600081 484800108 727200162 1454400324