Search a number
-
+
1243806948 = 2233371072909
BaseRepresentation
bin100101000100010…
…1111110011100100
310012200102221101000
41022020233303210
510021403310243
6323231033300
742552120216
oct11210576344
93180387330
101243806948
1158910762a
122a866b830
1316a8c1a57
14bb2945b6
15742e05d3
hex4a22fce4

1243806948 has 96 divisors (see below), whose sum is σ = 3343939200. Its totient is φ = 399489408.

The previous prime is 1243806943. The next prime is 1243806979. The reversal of 1243806948 is 8496083421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1243806943) 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, 426118 + ... + 429026.

It is an arithmetic number, because the mean of its divisors is an integer number (34832700).

Almost surely, 21243806948 is an apocalyptic number.

1243806948 is a gapful number since it is divisible by the number (18) 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 1243806948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671969600).

1243806948 is an abundant number, since it is smaller than the sum of its proper divisors (2100132252).

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

1243806948 is a wasteful number, since it uses less digits than its factorization.

1243806948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1243806948 is about 35267.6473272601. The cubic root of 1243806948 is about 1075.4353954373.

It can be divided in two parts, 124380 and 6948, that added together give a triangular number (131328 = T512).

The spelling of 1243806948 in words is "one billion, two hundred forty-three million, eight hundred six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 107 108 111 148 214 222 321 333 428 444 642 666 963 999 1284 1332 1926 1998 2889 2909 3852 3959 3996 5778 5818 7918 8727 11556 11636 11877 15836 17454 23754 26181 34908 35631 47508 52362 71262 78543 104724 106893 107633 142524 157086 213786 215266 311263 314172 322899 427572 430532 622526 645798 933789 968697 1245052 1291596 1867578 1937394 2801367 2906091 3735156 3874788 5602734 5812182 8404101 11205468 11516731 11624364 16808202 23033462 33616404 34550193 46066924 69100386 103650579 138200772 207301158 310951737 414602316 621903474 1243806948