Search a number
-
+
348494096664 = 233272927786077
BaseRepresentation
bin1010001001000111101…
…11011110100100011000
31020022112011010101100100
411010203313132210120
521202203442043124
6424032421535400
734115002642350
oct5044367364430
91208464111310
10348494096664
1112488291793a
1257659b74560
1326b2a8c036c
1412c1d873b60
1590e9c401c9
hex5123dde918

348494096664 has 192 divisors, whose sum is σ = 1119909211200. Its totient is φ = 95788127232.

The previous prime is 348494096617. The next prime is 348494096669. The reversal of 348494096664 is 466690494843.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348494096669) 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 47 ways as a sum of consecutive naturals, for example, 4005594 + ... + 4091670.

It is an arithmetic number, because the mean of its divisors is an integer number (5832860475).

Almost surely, 2348494096664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348494096664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559954605600).

348494096664 is an abundant number, since it is smaller than the sum of its proper divisors (771415114536).

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

348494096664 is a wasteful number, since it uses less digits than its factorization.

348494096664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86402 (or 86395 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 348494096664 in words is "three hundred forty-eight billion, four hundred ninety-four million, ninety-six thousand, six hundred sixty-four".