Search a number
-
+
3063143200 = 255213313941
BaseRepresentation
bin1011011010010011…
…1101101100100000
321220110211210112011
42312210331230200
522233131040300
61223541442304
7135623200435
oct26644755440
97813753464
103063143200
111332078907
12715a10394
1339a7c2090
14210b61b8c
1512ddb7eba
hexb693db20

3063143200 has 144 divisors (see below), whose sum is σ = 8087435496. Its totient is φ = 1126195200.

The previous prime is 3063143189. The next prime is 3063143203. The reversal of 3063143200 is 23413603.

3063143200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 168272784 + 2894870416 = 12972^2 + 53804^2 .

It is not an unprimeable number, because it can be changed into a prime (3063143203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3254730 + ... + 3255670.

Almost surely, 23063143200 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 3063143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043717748).

3063143200 is an abundant number, since it is smaller than the sum of its proper divisors (5024292296).

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

3063143200 is a wasteful number, since it uses less digits than its factorization.

3063143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3063143200 is about 55345.6701106780. The cubic root of 3063143200 is about 1452.2980918793.

Adding to 3063143200 its reverse (23413603), we get a palindrome (3086556803).

The spelling of 3063143200 in words is "three billion, sixty-three million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 313 325 400 416 520 626 650 800 941 1040 1252 1300 1565 1882 2080 2504 2600 3130 3764 4069 4705 5008 5200 6260 7528 7825 8138 9410 10016 10400 12233 12520 15056 15650 16276 18820 20345 23525 24466 25040 30112 31300 32552 37640 40690 47050 48932 50080 61165 62600 65104 75280 81380 94100 97864 101725 122330 125200 130208 150560 162760 188200 195728 203450 244660 250400 294533 305825 325520 376400 391456 406900 489320 589066 611650 651040 752800 813800 978640 1178132 1223300 1472665 1627600 1957280 2356264 2446600 2945330 3255200 3828929 4712528 4893200 5890660 7363325 7657858 9425056 9786400 11781320 14726650 15315716 19144645 23562640 29453300 30631432 38289290 47125280 58906600 61262864 76578580 95723225 117813200 122525728 153157160 191446450 235626400 306314320 382892900 612628640 765785800 1531571600 3063143200