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1324004420 = 225316731873
BaseRepresentation
bin100111011101010…
…1011010001000100
310102021100101121202
41032322223101010
510202421120140
6335214002032
744544565124
oct11672532104
93367311552
101324004420
1161a403132
1230b4a6318
131813c0c8b
14c7bacc84
157b382915
hex4eeab444

1324004420 has 48 divisors (see below), whose sum is σ = 2913028608. Its totient is φ = 504852480.

The previous prime is 1324004413. The next prime is 1324004477. The reversal of 1324004420 is 244004231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1324004392 and 1324004401.

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, 25604 + ... + 57476.

It is an arithmetic number, because the mean of its divisors is an integer number (60688096).

Almost surely, 21324004420 is an apocalyptic number.

1324004420 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 1324004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456514304).

1324004420 is an abundant number, since it is smaller than the sum of its proper divisors (1589024188).

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

1324004420 is a wasteful number, since it uses less digits than its factorization.

1324004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31980 (or 31978 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1324004420 is about 36386.8715335628. The cubic root of 1324004420 is about 1098.0694567781.

Adding to 1324004420 its reverse (244004231), we get a palindrome (1568008651).

The spelling of 1324004420 in words is "one billion, three hundred twenty-four million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 67 124 134 155 268 310 335 620 670 1340 2077 4154 8308 10385 20770 31873 41540 63746 127492 159365 318730 637460 988063 1976126 2135491 3952252 4270982 4940315 8541964 9880630 10677455 19761260 21354910 42709820 66200221 132400442 264800884 331001105 662002210 1324004420