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195341328 = 24337134969
BaseRepresentation
bin10111010010010…
…10110000010000
3111121120100221000
423221022300100
5400001410303
631214502000
74561242150
oct1351126020
9447510830
10195341328
11a02a0916
1255504900
13316159b0
141bd2c760
1512238da3
hexba4ac10

195341328 has 160 divisors (see below), whose sum is σ = 690233600. Its totient is φ = 51508224.

The previous prime is 195341327. The next prime is 195341329. The reversal of 195341328 is 823143591.

It is an interprime number because it is at equal distance from previous prime (195341327) and next prime (195341329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195341292 and 195341301.

It is not an unprimeable number, because it can be changed into a prime (195341327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36828 + ... + 41796.

It is an arithmetic number, because the mean of its divisors is an integer number (4313960).

Almost surely, 2195341328 is an apocalyptic number.

195341328 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 195341328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345116800).

195341328 is an abundant number, since it is smaller than the sum of its proper divisors (494892272).

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

195341328 is a wasteful number, since it uses less digits than its factorization.

195341328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4994 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 195341328 is about 13976.4562032012. The cubic root of 195341328 is about 580.2271484448.

The spelling of 195341328 in words is "one hundred ninety-five million, three hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 4969 5616 6552 9828 9938 13104 14907 19656 19876 29814 34783 39312 39752 44721 59628 64597 69566 79504 89442 104349 119256 129194 134163 139132 178884 193791 208698 238512 258388 268326 278264 313047 357768 387582 417396 452179 516776 536652 556528 581373 626094 715536 775164 834792 904358 939141 1033552 1073304 1162746 1252188 1356537 1550328 1669584 1744119 1808716 1878282 2146608 2325492 2504376 2713074 3100656 3488238 3617432 3756564 4069611 4650984 5008752 5426148 6976476 7234864 7513128 8139222 9301968 10852296 12208833 13952952 15026256 16278444 21704592 24417666 27905904 32556888 48835332 65113776 97670664 195341328