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1323300440 = 235711429643
BaseRepresentation
bin100111011011111…
…1111011001011000
310102020000121221102
41032313333121120
510202231103230
6335150530532
744535603530
oct11667773130
93366017842
101323300440
11619a72230
1230b206a48
13181205717
14c7a684c0
157b294045
hex4edff658

1323300440 has 64 divisors (see below), whose sum is σ = 3712124160. Its totient is φ = 412456320.

The previous prime is 1323300427. The next prime is 1323300443. The reversal of 1323300440 is 440033231.

It is a super-2 number, since 2×13233004402 = 3502248109008387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323300443) 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, 211742 + ... + 217901.

It is an arithmetic number, because the mean of its divisors is an integer number (58001940).

Almost surely, 21323300440 is an apocalyptic number.

1323300440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323300440 is an abundant number, since it is smaller than the sum of its proper divisors (2388823720).

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

1323300440 is a wasteful number, since it uses less digits than its factorization.

1323300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429672 (or 429668 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1323300440 is about 36377.1967034295. The cubic root of 1323300440 is about 1097.8748058714.

Adding to 1323300440 its reverse (440033231), we get a palindrome (1763333671).

The spelling of 1323300440 in words is "one billion, three hundred twenty-three million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 429643 859286 1718572 2148215 3007501 3437144 4296430 4726073 6015002 8592860 9452146 12030004 15037505 17185720 18904292 23630365 24060008 30075010 33082511 37808584 47260730 60150020 66165022 94521460 120300040 132330044 165412555 189042920 264660088 330825110 661650220 1323300440