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1324142424 = 2333111813079
BaseRepresentation
bin100111011101100…
…1100111101011000
310102021121101221000
41032323030331120
510202440024144
6335220545000
744546011353
oct11673147530
93367541830
101324142424
1161a497890
1230b552160
1318143ba37
14c7c0729a
157b3ad769
hex4eeccf58

1324142424 has 128 divisors (see below), whose sum is σ = 4036032000. Its totient is φ = 398908800.

The previous prime is 1324142411. The next prime is 1324142429. The reversal of 1324142424 is 4242414231.

1324142424 is a `hidden beast` number, since 1 + 3 + 2 + 414 + 242 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324142429) 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, 428517 + ... + 431595.

It is an arithmetic number, because the mean of its divisors is an integer number (31531500).

Almost surely, 21324142424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018016000).

1324142424 is an abundant number, since it is smaller than the sum of its proper divisors (2711889576).

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

1324142424 is a wasteful number, since it uses less digits than its factorization.

1324142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3276 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1324142424 is about 36388.7678274492. The cubic root of 1324142424 is about 1098.1076068805.

Adding to 1324142424 its reverse (4242414231), we get a palindrome (5566556655).

The spelling of 1324142424 in words is "one billion, three hundred twenty-four million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 181 198 216 264 297 362 396 543 594 724 792 1086 1188 1448 1629 1991 2172 2376 3079 3258 3982 4344 4887 5973 6158 6516 7964 9237 9774 11946 12316 13032 15928 17919 18474 19548 23892 24632 27711 33869 35838 36948 39096 47784 53757 55422 67738 71676 73896 83133 101607 107514 110844 135476 143352 166266 203214 215028 221688 270952 304821 332532 406428 430056 557299 609642 665064 812856 914463 1114598 1219284 1671897 1828926 2229196 2438568 3343794 3657852 4458392 5015691 6130289 6687588 7315704 10031382 12260578 13375176 15047073 18390867 20062764 24521156 30094146 36781734 40125528 49042312 55172601 60188292 73563468 110345202 120376584 147126936 165517803 220690404 331035606 441380808 662071212 1324142424