Search a number
-
+
348476324040 = 233451319716133
BaseRepresentation
bin1010001001000101100…
…11101011100011001000
31020022110220200102220000
411010202303223203020
521202134414332130
6424030545003000
734114365611205
oct5044263534310
91208426612800
10348476324040
11124873889019
1257654023460
1326b27009a10
1412c1b368cac
1590e83ce260
hex5122ceb8c8

348476324040 has 640 divisors, whose sum is σ = 1346673081600. Its totient is φ = 80106485760.

The previous prime is 348476323997. The next prime is 348476324047. The reversal of 348476324040 is 40423674843.

348476324040 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 7 + 632 + 4 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (348476324047) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 56816814 + ... + 56822946.

It is an arithmetic number, because the mean of its divisors is an integer number (2104176690).

Almost surely, 2348476324040 is an apocalyptic number.

348476324040 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 348476324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673336540800).

348476324040 is an abundant number, since it is smaller than the sum of its proper divisors (998196757560).

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

348476324040 is a wasteful number, since it uses less digits than its factorization.

348476324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

Adding to 348476324040 its reverse (40423674843), we get a palindrome (388899998883).

The spelling of 348476324040 in words is "three hundred forty-eight billion, four hundred seventy-six million, three hundred twenty-four thousand, forty".