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3204040000 = 2654711443
BaseRepresentation
bin1011111011111001…
…1100010101000000
322021021222002121011
42332332130111000
523030213240000
61245533410304
7142253614330
oct27676342500
98237862534
103204040000
1113a4662747
12755039994
133c0a54675
1422575b0c0
1513b44a2ba
hexbef9c540

3204040000 has 140 divisors (see below), whose sum is σ = 9080768224. Its totient is φ = 1098432000.

The previous prime is 3204039991. The next prime is 3204040003. The reversal of 3204040000 is 404023.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3204040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274279 + ... + 285721.

Almost surely, 23204040000 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 3204040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540384112).

3204040000 is an abundant number, since it is smaller than the sum of its proper divisors (5876728224).

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

3204040000 is an equidigital number, since it uses as much as digits as its factorization.

3204040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 3204040000 is about 56604.2401238635. The cubic root of 3204040000 is about 1474.2324839635.

Adding to 3204040000 its reverse (404023), we get a palindrome (3204444023).

The spelling of 3204040000 in words is "three billion, two hundred four million, forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 11443 14000 17500 20000 22886 28000 35000 40000 45772 56000 57215 70000 80101 91544 114430 140000 160202 183088 228860 280000 286075 320404 366176 400505 457720 572150 640808 732352 801010 915440 1144300 1281616 1430375 1602020 1830880 2002525 2288600 2563232 2860750 3204040 3661760 4005050 4577200 5126464 5721500 6408080 7151875 8010100 9154400 10012625 11443000 12816160 14303750 16020200 18308800 20025250 22886000 25632320 28607500 32040400 40050500 45772000 50063125 57215000 64080800 80101000 91544000 100126250 114430000 128161600 160202000 200252500 228860000 320404000 400505000 457720000 640808000 801010000 1602020000 3204040000