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32304400000 = 275580761
BaseRepresentation
bin11110000101011111…
…100000011010000000
310002101100102112220021
4132011133200122000
51012124411300000
622501311223224
72222350604125
oct360537403200
9102340375807
1032304400000
1112777a9a944
126316817b14
13307a91abb2
1417c650074c
15c910b911a
hex7857e0680

32304400000 has 96 divisors (see below), whose sum is σ = 80441374860. Its totient is φ = 12921600000.

The previous prime is 32304399961. The next prime is 32304400019. The reversal of 32304400000 is 440323.

It can be written as a sum of positive squares in 6 ways, for example, as 7246776384 + 25057623616 = 85128^2 + 158296^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359620 + ... + 440380.

Almost surely, 232304400000 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 32304400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40220687430).

32304400000 is an abundant number, since it is smaller than the sum of its proper divisors (48136974860).

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

32304400000 is an frugal number, since it uses more digits than its factorization.

32304400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80800 (or 80768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 32304400000 its reverse (440323), we get a palindrome (32304840323).

The spelling of 32304400000 in words is "thirty-two billion, three hundred four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 80761 100000 161522 200000 323044 400000 403805 646088 807610 1292176 1615220 2019025 2584352 3230440 4038050 5168704 6460880 8076100 10095125 10337408 12921760 16152200 20190250 25843520 32304400 40380500 50475625 51687040 64608800 80761000 100951250 129217600 161522000 201902500 252378125 258435200 323044000 403805000 504756250 646088000 807610000 1009512500 1292176000 1615220000 2019025000 3230440000 4038050000 6460880000 8076100000 16152200000 32304400000