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1020323332 = 2271923611367
BaseRepresentation
bin111100110100001…
…110011000000100
32122002220210111001
4330310032120010
54042200321312
6245125023044
734166414410
oct7464163004
92562823431
101020323332
11483a45026
12245854a84
13133504822
149971bd40
155e898057
hex3cd0e604

1020323332 has 96 divisors (see below), whose sum is σ = 2279854080. Its totient is φ = 389473920.

The previous prime is 1020323231. The next prime is 1020323333. The reversal of 1020323332 is 2333230201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1020323333) 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 31 ways as a sum of consecutive naturals, for example, 745713 + ... + 747079.

It is an arithmetic number, because the mean of its divisors is an integer number (23748480).

Almost surely, 21020323332 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 1020323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

1020323332 is an abundant number, since it is smaller than the sum of its proper divisors (1259530748).

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

1020323332 is a wasteful number, since it uses less digits than its factorization.

1020323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 1020323332 is about 31942.5004030680. The cubic root of 1020323332 is about 1006.7290621579.

Adding to 1020323332 its reverse (2333230201), we get a palindrome (3353553533).

The spelling of 1020323332 in words is "one billion, twenty million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 23 28 38 46 61 76 92 122 133 161 244 266 322 427 437 532 644 854 874 1159 1367 1403 1708 1748 2318 2734 2806 3059 4636 5468 5612 6118 8113 9569 9821 12236 16226 19138 19642 25973 26657 31441 32452 38276 39284 51946 53314 62882 83387 103892 106628 125764 166774 181811 186599 220087 333548 363622 373198 440174 583709 597379 727244 746396 880348 1167418 1194758 1584353 1917901 2334836 2389516 3168706 3835802 4181653 6337412 7671604 8363306 11090471 13425307 16726612 22180942 26850614 36440119 44361884 53701228 72880238 145760476 255080833 510161666 1020323332