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354394005060 = 2235174771104119
BaseRepresentation
bin1010010100000111000…
…01110101111001000100
31020212202022211210011010
411022003201311321010
521301244331130220
6430450101242220
734414133224434
oct5120341657104
91225668753133
10354394005060
111273301a4397
1258825a03370
132755b012a14
141321d26a2c4
159342ba61e0
hex5283875e44

354394005060 has 192 divisors, whose sum is σ = 1088152289280. Its totient is φ = 85826549760.

The previous prime is 354394005019. The next prime is 354394005071. The reversal of 354394005060 is 60500493453.

It is a super-2 number, since 2×3543940050602 (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3351681 + ... + 3455799.

It is an arithmetic number, because the mean of its divisors is an integer number (5667459840).

Almost surely, 2354394005060 is an apocalyptic number.

354394005060 is a gapful number since it is divisible by the number (30) 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 354394005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544076144640).

354394005060 is an abundant number, since it is smaller than the sum of its proper divisors (733758284220).

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

354394005060 is a wasteful number, since it uses less digits than its factorization.

354394005060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104266 (or 104264 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 354394005060 in words is "three hundred fifty-four billion, three hundred ninety-four million, five thousand, sixty".