Search a number
-
+
1098134244 = 2232173475171
BaseRepresentation
bin100000101110100…
…0011001011100100
32211112022222222200
41001131003023210
54222110243434
6300544454500
736132662364
oct10135031344
92745288880
101098134244
11513960569
1226791a430
1314667969c
14a5bb49a4
1566618199
hex417432e4

1098134244 has 72 divisors (see below), whose sum is σ = 2948164128. Its totient is φ = 343453440.

The previous prime is 1098134183. The next prime is 1098134249. The reversal of 1098134244 is 4424318901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1098134199 and 1098134208.

It is not an unprimeable number, because it can be changed into a prime (1098134249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209779 + ... + 214949.

It is an arithmetic number, because the mean of its divisors is an integer number (40946724).

Almost surely, 21098134244 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 1098134244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474082064).

1098134244 is an abundant number, since it is smaller than the sum of its proper divisors (1850029884).

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

1098134244 is a wasteful number, since it uses less digits than its factorization.

1098134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1098134244 is about 33138.1086364325. The cubic root of 1098134244 is about 1031.6961540140.

The spelling of 1098134244 in words is "one billion, ninety-eight million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 347 612 694 1041 1388 2082 3123 4164 5171 5899 6246 10342 11798 12492 15513 17697 20684 23596 31026 35394 46539 53091 62052 70788 87907 93078 106182 175814 186156 212364 263721 351628 527442 791163 1054884 1582326 1794337 3164652 3588674 5383011 7177348 10766022 16149033 21532044 30503729 32298066 61007458 64596132 91511187 122014916 183022374 274533561 366044748 549067122 1098134244