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1324402016 = 257103137419
BaseRepresentation
bin100111011110000…
…1100010101100000
310102022002121000112
41032330030111200
510203021331031
6335230310452
744551142240
oct11674142540
93368077015
101324402016
1161a654923
1230b658428
131814ccc42
14c7c73b20
157b41062b
hex4ef0c560

1324402016 has 96 divisors (see below), whose sum is σ = 3038031360. Its totient is φ = 556655616.

The previous prime is 1324401977. The next prime is 1324402039. The reversal of 1324402016 is 6102044231.

It is a junction number, because it is equal to n+sod(n) for n = 1324401982 and 1324402000.

It is a congruent number.

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, 3160655 + ... + 3161073.

It is an arithmetic number, because the mean of its divisors is an integer number (31646160).

Almost surely, 21324402016 is an apocalyptic number.

1324402016 is a gapful number since it is divisible by the number (16) 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 1324402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519015680).

1324402016 is an abundant number, since it is smaller than the sum of its proper divisors (1713629344).

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

1324402016 is a wasteful number, since it uses less digits than its factorization.

1324402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1324402016 is about 36392.3345774904. The cubic root of 1324402016 is about 1098.1793618314.

Adding to 1324402016 its reverse (6102044231), we get a palindrome (7426446247).

The spelling of 1324402016 in words is "one billion, three hundred twenty-four million, four hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 137 206 224 274 412 419 548 721 824 838 959 1096 1442 1648 1676 1918 2192 2884 2933 3296 3352 3836 4384 5768 5866 6704 7672 11536 11732 13408 14111 15344 23072 23464 28222 30688 43157 46928 56444 57403 86314 93856 98777 112888 114806 172628 197554 225776 229612 302099 345256 395108 401821 451552 459224 604198 690512 790216 803642 918448 1208396 1381024 1580432 1607284 1836896 2416792 3160864 3214568 4833584 5912509 6429136 9667168 11825018 12858272 23650036 41387563 47300072 82775126 94600144 165550252 189200288 331100504 662201008 1324402016