Search a number
-
+
17342080 = 2757379
BaseRepresentation
bin100001000100…
…1111010000000
31012122001212021
41002021322000
513414421310
61415411224
7300256000
oct102117200
935561767
1017342080
1198753a8
125983b14
1337926b2
142436000
1517c85da
hex1089e80

17342080 has 128 divisors (see below), whose sum is σ = 48960000. Its totient is φ = 5870592.

The previous prime is 17342033. The next prime is 17342081. The reversal of 17342080 is 8024371.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (17342081) 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, 219481 + ... + 219559.

It is an arithmetic number, because the mean of its divisors is an integer number (382500).

Almost surely, 217342080 is an apocalyptic number.

17342080 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 17342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480000).

17342080 is an abundant number, since it is smaller than the sum of its proper divisors (31617920).

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

17342080 is an frugal number, since it uses more digits than its factorization.

17342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 17342080 is about 4164.3823071375. The cubic root of 17342080 is about 258.8413930305.

The spelling of 17342080 in words is "seventeen million, three hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 79 80 98 112 128 140 158 160 196 224 245 280 316 320 343 392 395 448 490 553 560 632 640 686 784 790 896 980 1106 1120 1264 1372 1568 1580 1715 1960 2212 2240 2528 2744 2765 3136 3160 3430 3871 3920 4424 4480 5056 5488 5530 6272 6320 6860 7742 7840 8848 10112 10976 11060 12640 13720 15484 15680 17696 19355 21952 22120 25280 27097 27440 30968 31360 35392 38710 43904 44240 50560 54194 54880 61936 70784 77420 88480 108388 109760 123872 135485 154840 176960 216776 219520 247744 270970 309680 353920 433552 495488 541940 619360 867104 1083880 1238720 1734208 2167760 2477440 3468416 4335520 8671040 17342080