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1243322304 = 263719181269
BaseRepresentation
bin100101000011011…
…1001011111000000
310012122112022120020
41022012321133000
510021242303204
6323212413440
742545031240
oct11206713700
93178468506
101243322304
115889064a4
122a8477280
1316a782293
14bb1a9b20
1574246bd9
hex4a1b97c0

1243322304 has 224 divisors, whose sum is σ = 3994099200. Its totient is φ = 333434880.

The previous prime is 1243322287. The next prime is 1243322309. The reversal of 1243322304 is 4032233421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243322309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4621882 + ... + 4622150.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 21243322304 is an apocalyptic number.

1243322304 is a gapful number since it is divisible by the number (14) 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 1243322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997049600).

1243322304 is an abundant number, since it is smaller than the sum of its proper divisors (2750776896).

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

1243322304 is a wasteful number, since it uses less digits than its factorization.

1243322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1243322304 is about 35260.7757146663. The cubic root of 1243322304 is about 1075.2956977074.

Adding to 1243322304 its reverse (4032233421), we get a palindrome (5275555725).

The spelling of 1243322304 in words is "one billion, two hundred forty-three million, three hundred twenty-two thousand, three hundred four".