Search a number
-
+
3442304200 = 2352231674481
BaseRepresentation
bin1100110100101101…
…0110010011001000
322212220022011122011
43031023112103020
524022212213300
61325324305304
7151206050206
oct31513262310
98786264564
103442304200
111507100105
128009a2234
1342b2183ba
14249260076
15152311eba
hexcd2d64c8

3442304200 has 96 divisors (see below), whose sum is σ = 8403212160. Its totient is φ = 1308876800.

The previous prime is 3442304153. The next prime is 3442304219. The reversal of 3442304200 is 24032443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765960 + ... + 770440.

It is an arithmetic number, because the mean of its divisors is an integer number (87533460).

Almost surely, 23442304200 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 3442304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201606080).

3442304200 is an abundant number, since it is smaller than the sum of its proper divisors (4960907960).

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

3442304200 is a wasteful number, since it uses less digits than its factorization.

3442304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3442304200 is about 58671.1530481548. The cubic root of 3442304200 is about 1509.9054368219.

Adding to 3442304200 its reverse (24032443), we get a palindrome (3466336643).

The spelling of 3442304200 in words is "three billion, four hundred forty-two million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 167 184 200 230 334 460 575 668 835 920 1150 1336 1670 2300 3340 3841 4175 4481 4600 6680 7682 8350 8962 15364 16700 17924 19205 22405 30728 33400 35848 38410 44810 76820 89620 96025 103063 112025 153640 179240 192050 206126 224050 384100 412252 448100 515315 748327 768200 824504 896200 1030630 1496654 2061260 2576575 2993308 3741635 4122520 5153150 5986616 7483270 10306300 14966540 17211521 18708175 20612600 29933080 34423042 37416350 68846084 74832700 86057605 137692168 149665400 172115210 344230420 430288025 688460840 860576050 1721152100 3442304200