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19342128 = 24313139223
BaseRepresentation
bin100100111001…
…0001100110000
31100101200102010
41021302030300
514422422003
61530322520
7323256021
oct111621460
940350363
1019342128
11aa11033
126589440
134012b60
1427d6c48
151a71003
hex1272330

19342128 has 80 divisors (see below), whose sum is σ = 54440960. Its totient is φ = 5882112.

The previous prime is 19342121. The next prime is 19342129. The reversal of 19342128 is 82124391.

It is a junction number, because it is equal to n+sod(n) for n = 19342095 and 19342104.

It is not an unprimeable number, because it can be changed into a prime (19342121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86625 + ... + 86847.

It is an arithmetic number, because the mean of its divisors is an integer number (680512).

Almost surely, 219342128 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 19342128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27220480).

19342128 is an abundant number, since it is smaller than the sum of its proper divisors (35098832).

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

19342128 is a wasteful number, since it uses less digits than its factorization.

19342128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 19342128 is about 4397.9686219890. The cubic root of 19342128 is about 268.4322866744.

The spelling of 19342128 in words is "nineteen million, three hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 223 278 312 417 446 556 624 669 834 892 1112 1338 1668 1784 1807 2224 2676 2899 3336 3568 3614 5352 5421 5798 6672 7228 8697 10704 10842 11596 14456 17394 21684 23192 28912 30997 34788 43368 46384 61994 69576 86736 92991 123988 139152 185982 247976 371964 402961 495952 743928 805922 1208883 1487856 1611844 2417766 3223688 4835532 6447376 9671064 19342128