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43234000000 = 275621617
BaseRepresentation
bin101000010000111100…
…100111110010000000
311010121001101202111021
4220100330213302000
51202020401000000
631510022355224
73060243636142
oct502074476200
9133531352437
1043234000000
1117376514114
128466b8bb14
134100096929
142141cc6c92
1511d089e11a
hexa10f27c80

43234000000 has 112 divisors (see below), whose sum is σ = 107666395290. Its totient is φ = 17292800000.

The previous prime is 43233999979. The next prime is 43234000001. The reversal of 43234000000 is 43234.

It can be written as a sum of positive squares in 7 ways, for example, as 30334492224 + 12899507776 = 174168^2 + 113576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (43234000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1989192 + ... + 2010808.

Almost surely, 243234000000 is an apocalyptic number.

43234000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43234000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53833197645).

43234000000 is an abundant number, since it is smaller than the sum of its proper divisors (64432395290).

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

43234000000 is an frugal number, since it uses more digits than its factorization.

43234000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21661 (or 21624 counting only the distinct ones).

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

Adding to 43234000000 its reverse (43234), we get a palindrome (43234043234).

43234000000 divided by its reverse (43234) gives a 6-th power (1000000 = 106).

The spelling of 43234000000 in words is "forty-three billion, two hundred thirty-four million", and thus it is an aban number.

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 15625 16000 20000 21617 25000 31250 40000 43234 50000 62500 80000 86468 100000 108085 125000 172936 200000 216170 250000 345872 400000 432340 500000 540425 691744 864680 1000000 1080850 1383488 1729360 2000000 2161700 2702125 2766976 3458720 4323400 5404250 6917440 8646800 10808500 13510625 13834880 17293600 21617000 27021250 34587200 43234000 54042500 67553125 69174400 86468000 108085000 135106250 172936000 216170000 270212500 337765625 345872000 432340000 540425000 675531250 864680000 1080850000 1351062500 1729360000 2161700000 2702125000 4323400000 5404250000 8646800000 10808500000 21617000000 43234000000