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3234100000 = 255532341
BaseRepresentation
bin1100000011000100…
…0111001100100000
322100101112022011111
43000301013030200
523110412200000
61252525553104
7143100252655
oct30061071440
98311468144
103234100000
11140a62421a
12763115794
133c704aa51
14229743c2c
1513ddd6cba
hexc0c47320

3234100000 has 72 divisors (see below), whose sum is σ = 7958654676. Its totient is φ = 1293600000.

The previous prime is 3234099997. The next prime is 3234100003. The reversal of 3234100000 is 14323.

It is an interprime number because it is at equal distance from previous prime (3234099997) and next prime (3234100003).

It can be written as a sum of positive squares in 6 ways, for example, as 987719184 + 2246380816 = 31428^2 + 47396^2 .

It is not an unprimeable number, because it can be changed into a prime (3234100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83830 + ... + 116170.

Almost surely, 23234100000 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 3234100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979327338).

3234100000 is an abundant number, since it is smaller than the sum of its proper divisors (4724554676).

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

3234100000 is an frugal number, since it uses more digits than its factorization.

3234100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32376 (or 32348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3234100000 is about 56869.1480505907. The cubic root of 3234100000 is about 1478.8285105014.

Adding to 3234100000 its reverse (14323), we get a palindrome (3234114323).

The spelling of 3234100000 in words is "three billion, two hundred thirty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 32341 50000 64682 100000 129364 161705 258728 323410 517456 646820 808525 1034912 1293640 1617050 2587280 3234100 4042625 5174560 6468200 8085250 12936400 16170500 20213125 25872800 32341000 40426250 64682000 80852500 101065625 129364000 161705000 202131250 323410000 404262500 646820000 808525000 1617050000 3234100000