Search a number
-
+
3780284148 = 2233532712437
BaseRepresentation
bin1110000101010010…
…1000111011110100
3100202110021022222000
43201110220323310
530220223043043
61423040335300
7162451612404
oct34124507364
910673238860
103780284148
11166a965483
12896014530
13483253434
1427c0bc804
15171d242d3
hexe1528ef4

3780284148 has 96 divisors (see below), whose sum is σ = 10026616320. Its totient is φ = 1231251840.

The previous prime is 3780284147. The next prime is 3780284149. The reversal of 3780284148 is 8414820873.

3780284148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3780284147) and next prime (3780284149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780284147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549986 + ... + 1552422.

It is an arithmetic number, because the mean of its divisors is an integer number (104443920).

Almost surely, 23780284148 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 3780284148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013308160).

3780284148 is an abundant number, since it is smaller than the sum of its proper divisors (6246332172).

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

3780284148 is a wasteful number, since it uses less digits than its factorization.

3780284148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 3780284148 is about 61484.0153861148. The cubic root of 3780284148 is about 1557.7872622973.

The spelling of 3780284148 in words is "three billion, seven hundred eighty million, two hundred eighty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 271 318 477 542 636 813 954 1084 1431 1626 1908 2437 2439 2862 3252 4874 4878 5724 7311 7317 9748 9756 14363 14622 14634 21933 28726 29244 29268 43089 43866 57452 65799 86178 87732 129161 129267 131598 172356 258322 258534 263196 387483 387801 516644 517068 660427 774966 775602 1162449 1320854 1549932 1551204 1981281 2324898 2641708 3487347 3962562 4649796 5943843 6974694 7925124 11887686 13949388 17831529 23775372 35002631 35663058 70005262 71326116 105007893 140010524 210015786 315023679 420031572 630047358 945071037 1260094716 1890142074 3780284148