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195429834 = 2353791061
BaseRepresentation
bin10111010011000…
…00010111001010
3111121201212100000
423221200113022
5400012223314
631220423430
74562061165
oct1351402712
9447655300
10195429834
11a0351366
1255547b76
1331647072
141bd52adc
1512255209
hexba605ca

195429834 has 48 divisors (see below), whose sum is σ = 440687520. Its totient is φ = 64910160.

The previous prime is 195429823. The next prime is 195429847. The reversal of 195429834 is 438924591.

195429834 is a `hidden beast` number, since 19 + 542 + 98 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 195429834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183664 + ... + 184724.

It is an arithmetic number, because the mean of its divisors is an integer number (9180990).

Almost surely, 2195429834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195429834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220343760).

195429834 is an abundant number, since it is smaller than the sum of its proper divisors (245257686).

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

195429834 is a wasteful number, since it uses less digits than its factorization.

195429834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 195429834 is about 13979.6220978966. The cubic root of 195429834 is about 580.3147657293.

The spelling of 195429834 in words is "one hundred ninety-five million, four hundred twenty-nine thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 379 486 758 1061 1137 2122 2274 3183 3411 6366 6822 9549 10233 19098 20466 28647 30699 57294 61398 85941 92097 171882 184194 257823 402119 515646 804238 1206357 2412714 3619071 7238142 10857213 21714426 32571639 65143278 97714917 195429834