Search a number
-
+
1020304332 = 2232192951437
BaseRepresentation
bin111100110100001…
…001101111001100
32122002212211102100
4330310021233030
54042144214312
6245124355100
734166305125
oct7464115714
92562784370
101020304332
11483a31823
12245845a90
131334c8c98
149971504c
155e8925dc
hex3cd09bcc

1020304332 has 72 divisors (see below), whose sum is σ = 2808514800. Its totient is φ = 311084928.

The previous prime is 1020304319. The next prime is 1020304367. The reversal of 1020304332 is 2334030201.

1020304332 is a `hidden beast` number, since 10 + 20 + 304 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5883 + ... + 45554.

It is an arithmetic number, because the mean of its divisors is an integer number (39007150).

Almost surely, 21020304332 is an apocalyptic number.

1020304332 is a gapful number since it is divisible by the number (12) 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 1020304332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404257400).

1020304332 is an abundant number, since it is smaller than the sum of its proper divisors (1788210468).

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

1020304332 is a wasteful number, since it uses less digits than its factorization.

1020304332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51495 (or 51490 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1020304332 is about 31942.2029922797. The cubic root of 1020304332 is about 1006.7228131679.

Adding to 1020304332 its reverse (2334030201), we get a palindrome (3354334533).

The spelling of 1020304332 in words is "one billion, twenty million, three hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 19836 51437 102874 154311 205748 308622 462933 617244 925866 977303 1491673 1851732 1954606 2931909 2983346 3909212 4475019 5863818 5966692 8795727 8950038 11727636 13425057 17591454 17900076 26850114 28341787 35182908 53700228 56683574 85025361 113367148 170050722 255076083 340101444 510152166 1020304332