[go: up one dir, main page]

Search a number
-
+
493190334 = 2327132192353
BaseRepresentation
bin11101011001010…
…111110010111110
31021101000122221200
4131121113302332
52002224042314
6120534440330
715136022460
oct3531276276
91241018850
10493190334
1123343621a
121192030a6
137b23c700
1449702130
152d470709
hex1d657cbe

493190334 has 288 divisors, whose sum is σ = 1479928320. Its totient is φ = 115644672.

The previous prime is 493190309. The next prime is 493190339. The reversal of 493190334 is 433091394.

493190334 is a `hidden beast` number, since 4 + 9 + 319 + 0 + 334 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493190339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9305452 + ... + 9305504.

It is an arithmetic number, because the mean of its divisors is an integer number (5138640).

Almost surely, 2493190334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493190334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739964160).

493190334 is an abundant number, since it is smaller than the sum of its proper divisors (986737986).

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

493190334 is a wasteful number, since it uses less digits than its factorization.

493190334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 493190334 is about 22207.8890036852. The cubic root of 493190334 is about 790.0808195904.

The spelling of 493190334 in words is "four hundred ninety-three million, one hundred ninety thousand, three hundred thirty-four".