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95420034 = 23229533449
BaseRepresentation
bin1011010111111…
…11111010000010
320122112211200100
411223333322002
5143411420114
613245103230
72236025343
oct553777202
9218484610
1095420034
1149953536
1227b57b16
13169cbc78
14c95c0ca
15859c909
hex5affe82

95420034 has 48 divisors (see below), whose sum is σ = 217971000. Its totient is φ = 30121728.

The previous prime is 95420029. The next prime is 95420041. The reversal of 95420034 is 43002459.

It can be written as a sum of positive squares in 4 ways, for example, as 62964225 + 32455809 = 7935^2 + 5697^2 .

It is a super-3 number, since 3×954200343 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25942 + ... + 29390.

Almost surely, 295420034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95420034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108985500).

95420034 is an abundant number, since it is smaller than the sum of its proper divisors (122550966).

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

95420034 is a wasteful number, since it uses less digits than its factorization.

95420034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 95420034 is about 9768.3178695208. The cubic root of 95420034 is about 456.9617570508.

The spelling of 95420034 in words is "ninety-five million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 1537 3074 3449 4611 6898 9222 10347 13833 20694 27666 31041 62082 100021 182797 200042 300063 365594 548391 600126 900189 1096782 1645173 1800378 3290346 5301113 10602226 15903339 31806678 47710017 95420034