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3243040000 = 285420269
BaseRepresentation
bin1100000101001100…
…1101110100000000
322101000100111112121
43001103031310000
523120204240000
61253445334024
7143236246054
oct30123156400
98330314477
103243040000
11141467aa52
12766107314
133c8b5aca5
1422a9cdc64
1513eaa0b1a
hexc14cdd00

3243040000 has 90 divisors (see below), whose sum is σ = 8089574570. Its totient is φ = 1297152000.

The previous prime is 3243039991. The next prime is 3243040001. The reversal of 3243040000 is 403423.

It can be written as a sum of positive squares in 5 ways, for example, as 834978816 + 2408061184 = 28896^2 + 49072^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243040001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 149866 + ... + 170134.

Almost surely, 23243040000 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 3243040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044787285).

3243040000 is an abundant number, since it is smaller than the sum of its proper divisors (4846534570).

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

3243040000 is an frugal number, since it uses more digits than its factorization.

3243040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20305 (or 20276 counting only the distinct ones).

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

The square root of 3243040000 is about 56947.6953001612. The cubic root of 3243040000 is about 1480.1898952833.

Adding to 3243040000 its reverse (403423), we get a palindrome (3243443423).

The spelling of 3243040000 in words is "three billion, two hundred forty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 20269 32000 40000 40538 80000 81076 101345 160000 162152 202690 324304 405380 506725 648608 810760 1013450 1297216 1621520 2026900 2533625 2594432 3243040 4053800 5067250 5188864 6486080 8107600 10134500 12668125 12972160 16215200 20269000 25336250 25944320 32430400 40538000 50672500 64860800 81076000 101345000 129721600 162152000 202690000 324304000 405380000 648608000 810760000 1621520000 3243040000