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1323245440 = 275111011861
BaseRepresentation
bin100111011011111…
…0001111110000000
310102012220211111101
41032313301332000
510202222323230
6335145424144
744535254266
oct11667617600
93365824441
101323245440
11619a34980
1230b19b054
131811b668a
14c7a52436
157b282aca
hex4edf1f80

1323245440 has 128 divisors (see below), whose sum is σ = 3487004640. Its totient is φ = 476160000.

The previous prime is 1323245431. The next prime is 1323245449. The reversal of 1323245440 is 445423231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1323245431) and next prime (1323245449).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1323245399 and 1323245408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323245449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710110 + ... + 711970.

Almost surely, 21323245440 is an apocalyptic number.

1323245440 is a gapful number since it is divisible by the number (10) 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 1323245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743502320).

1323245440 is an abundant number, since it is smaller than the sum of its proper divisors (2163759200).

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

1323245440 is a wasteful number, since it uses less digits than its factorization.

1323245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 1323245440 is about 36376.4407274818. The cubic root of 1323245440 is about 1097.8595954301.

Adding to 1323245440 its reverse (445423231), we get a palindrome (1768668671).

The spelling of 1323245440 in words is "one billion, three hundred twenty-three million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 320 352 404 440 505 640 704 808 880 1010 1111 1408 1616 1760 1861 2020 2222 3232 3520 3722 4040 4444 5555 6464 7040 7444 8080 8888 9305 11110 12928 14888 16160 17776 18610 20471 22220 29776 32320 35552 37220 40942 44440 59552 64640 71104 74440 81884 88880 102355 119104 142208 148880 163768 177760 187961 204710 238208 297760 327536 355520 375922 409420 595520 655072 711040 751844 818840 939805 1191040 1310144 1503688 1637680 1879610 2067571 2620288 3007376 3275360 3759220 4135142 6014752 6550720 7518440 8270284 10337855 12029504 13101440 15036880 16540568 20675710 24059008 30073760 33081136 41351420 60147520 66162272 82702840 120295040 132324544 165405680 264649088 330811360 661622720 1323245440