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19342368 = 253361367
BaseRepresentation
bin100100111001…
…0010000100000
31100101200202000
41021302100200
514422423433
61530324000
7323256513
oct111622040
940350660
1019342368
11aa11231
126589600
134012cb6
1427d6d7a
151a71113
hex1272420

19342368 has 96 divisors (see below), whose sum is σ = 57496320. Its totient is φ = 6324480.

The previous prime is 19342331. The next prime is 19342369. The reversal of 19342368 is 86324391.

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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (19342369) 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, 52521 + ... + 52887.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 219342368 is an apocalyptic number.

19342368 is a gapful number since it is divisible by the number (18) 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 19342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748160).

19342368 is an abundant number, since it is smaller than the sum of its proper divisors (38153952).

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

19342368 is a wasteful number, since it uses less digits than its factorization.

19342368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 19342368 is about 4397.9959072287. The cubic root of 19342368 is about 268.4333969191.

Adding to 19342368 its sum of digits (36), we get a square (19342404 = 43982).

The spelling of 19342368 in words is "nineteen million, three hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 367 432 488 549 732 734 864 976 1098 1101 1464 1468 1647 1952 2196 2202 2928 2936 3294 3303 4392 4404 5856 5872 6588 6606 8784 8808 9909 11744 13176 13212 17568 17616 19818 22387 26352 26424 35232 39636 44774 52704 52848 67161 79272 89548 105696 134322 158544 179096 201483 268644 317088 358192 402966 537288 604449 716384 805932 1074576 1208898 1611864 2149152 2417796 3223728 4835592 6447456 9671184 19342368