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1323332020 = 2251719491997
BaseRepresentation
bin100111011100000…
…0111000110110100
310102020002020021001
41032320013012310
510202233111040
6335151333044
744536064563
oct11670070664
93366066231
101323332020
11619a93a2a
1230b221184
13181216bca
14c7a75bda
157b29d59a
hex4ee071b4

1323332020 has 48 divisors (see below), whose sum is σ = 2945451600. Its totient is φ = 497690624.

The previous prime is 1323331993. The next prime is 1323332029. The reversal of 1323332020 is 202333231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6948496 + 1316383524 = 2636^2 + 36282^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323332029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661662 + ... + 663658.

It is an arithmetic number, because the mean of its divisors is an integer number (61363575).

Almost surely, 21323332020 is an apocalyptic number.

1323332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323332020 is an abundant number, since it is smaller than the sum of its proper divisors (1622119580).

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

1323332020 is a wasteful number, since it uses less digits than its factorization.

1323332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3970 counting only the distinct ones).

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

The square root of 1323332020 is about 36377.6307639736. The cubic root of 1323332020 is about 1097.8835392397.

Adding to 1323332020 its reverse (202333231), we get a palindrome (1525665251).

The spelling of 1323332020 in words is "one billion, three hundred twenty-three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1949 1997 3898 3994 7796 7988 9745 9985 19490 19970 33133 33949 38980 39940 66266 67898 132532 135796 165665 169745 331330 339490 662660 678980 3892153 7784306 15568612 19460765 38921530 66166601 77843060 132333202 264666404 330833005 661666010 1323332020