Search a number
-
+
1341774500 = 225311534603
BaseRepresentation
bin100111111111001…
…1101101010100100
310110111210012120212
41033332131222210
510221443241000
6341050514552
745151616003
oct11776355244
93414705525
101341774500
11629440050
12315435a58
13184ca3411
14ca2b6c3a
157cbe2c35
hex4ff9daa4

1341774500 has 96 divisors (see below), whose sum is σ = 3257864064. Its totient is φ = 478608000.

The previous prime is 1341774491. The next prime is 1341774503. The reversal of 1341774500 is 54771431.

It is not an unprimeable number, because it can be changed into a prime (1341774503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289199 + ... + 293801.

It is an arithmetic number, because the mean of its divisors is an integer number (33936084).

Almost surely, 21341774500 is an apocalyptic number.

1341774500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341774500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628932032).

1341774500 is an abundant number, since it is smaller than the sum of its proper divisors (1916089564).

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

1341774500 is a wasteful number, since it uses less digits than its factorization.

1341774500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 1341774500 is about 36630.2402394524. The cubic root of 1341774500 is about 1102.9602084594.

The spelling of 1341774500 in words is "one billion, three hundred forty-one million, seven hundred seventy-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 125 212 220 250 265 275 500 530 550 583 1060 1100 1166 1325 1375 2332 2650 2750 2915 4603 5300 5500 5830 6625 9206 11660 13250 14575 18412 23015 26500 29150 46030 50633 58300 72875 92060 101266 115075 145750 202532 230150 243959 253165 291500 460300 487918 506330 575375 975836 1012660 1150750 1219795 1265825 2301500 2439590 2531650 2683549 4879180 5063300 5367098 6098975 6329125 10734196 12197950 12658250 13417745 24395900 25316500 26835490 30494875 53670980 60989750 67088725 121979500 134177450 268354900 335443625 670887250 1341774500