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3204100000 = 25551792
BaseRepresentation
bin1011111011111010…
…1010111110100000
322021022002010220101
42332332222332200
523030222200000
61245534552144
7142254254263
oct27676527640
98238063811
103204100000
1113a46a3832
12755068654
133c0a75a7a
14225774cda
1513b45ce6a
hexbefaafa0

3204100000 has 108 divisors (see below), whose sum is σ = 7928879238. Its totient is φ = 1274480000.

The previous prime is 3204099991. The next prime is 3204100033. The reversal of 3204100000 is 14023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 4613904 + 3199486096 = 2148^2 + 56564^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 3204100000.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17899911 + ... + 17900089.

Almost surely, 23204100000 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 3204100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964439619).

3204100000 is an abundant number, since it is smaller than the sum of its proper divisors (4724779238).

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

3204100000 is an frugal number, since it uses more digits than its factorization.

3204100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3204100000 is about 56604.7701170140. The cubic root of 3204100000 is about 1474.2416862411.

Multiplying 3204100000 by its sum of digits (10), we get a square (32041000000 = 1790002).

3204100000 divided by its sum of digits (10) gives a square (320410000 = 179002).

Adding to 3204100000 its reverse (14023), we get a palindrome (3204114023).

The spelling of 3204100000 in words is "three billion, two hundred four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 625 716 800 895 1000 1250 1432 1790 2000 2500 2864 3125 3580 4000 4475 5000 5728 6250 7160 8950 10000 12500 14320 17900 20000 22375 25000 28640 32041 35800 44750 50000 64082 71600 89500 100000 111875 128164 143200 160205 179000 223750 256328 320410 358000 447500 512656 559375 640820 716000 801025 895000 1025312 1118750 1281640 1602050 1790000 2237500 2563280 3204100 3580000 4005125 4475000 5126560 6408200 8010250 8950000 12816400 16020500 17900000 20025625 25632800 32041000 40051250 64082000 80102500 100128125 128164000 160205000 200256250 320410000 400512500 640820000 801025000 1602050000 3204100000