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1324214304 = 25374194703
BaseRepresentation
bin100111011101101…
…1110100000100000
310102021202001112020
41032323132200200
510202444324204
6335222301440
744546431050
oct11673364040
93367661466
101324214304
1161a536896
1230b587880
1318146567a
14c7c25560
157b3c4bd9
hex4eede820

1324214304 has 96 divisors (see below), whose sum is σ = 3982970880. Its totient is φ = 377363712.

The previous prime is 1324214279. The next prime is 1324214323. The reversal of 1324214304 is 4034124231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279217 + ... + 283919.

It is an arithmetic number, because the mean of its divisors is an integer number (41489280).

Almost surely, 21324214304 is an apocalyptic number.

1324214304 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 1324214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991485440).

1324214304 is an abundant number, since it is smaller than the sum of its proper divisors (2658756576).

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

1324214304 is a wasteful number, since it uses less digits than its factorization.

1324214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1324214304 is about 36389.7554814538. The cubic root of 1324214304 is about 1098.1274764819.

Adding to 1324214304 its reverse (4034124231), we get a palindrome (5358338535).

The spelling of 1324214304 in words is "one billion, three hundred twenty-four million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 419 672 838 1257 1676 2514 2933 3352 4703 5028 5866 6704 8799 9406 10056 11732 13408 14109 17598 18812 20112 23464 28218 32921 35196 37624 40224 46928 56436 65842 70392 75248 93856 98763 112872 131684 140784 150496 197526 225744 263368 281568 395052 451488 526736 790104 1053472 1580208 1970557 3160416 3941114 5911671 7882228 11823342 13793899 15764456 23646684 27587798 31528912 41381697 47293368 55175596 63057824 82763394 94586736 110351192 165526788 189173472 220702384 331053576 441404768 662107152 1324214304