Search a number
-
+
358348813830 = 234571723161639
BaseRepresentation
bin1010011011011110100…
…00001111011000000110
31021020221221111212220000
411031233100033120012
521332344244020310
6432342334422130
734614134442240
oct5155720173006
91236857455800
10358348813830
11128a7a621797
125954a361946
1327a3b470a57
14134b65b9090
1594c4ea14c0
hex536f40f606

358348813830 has 320 divisors, whose sum is σ = 1216691435520. Its totient is φ = 73737962496.

The previous prime is 358348813799. The next prime is 358348813861. The reversal of 358348813830 is 38318843853.

358348813830 is a `hidden beast` number, since 3 + 5 + 83 + 488 + 1 + 3 + 83 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (358348813799) and next prime (358348813861).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2136151 + ... + 2297789.

It is an arithmetic number, because the mean of its divisors is an integer number (3802160736).

Almost surely, 2358348813830 is an apocalyptic number.

358348813830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 358348813830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608345717760).

358348813830 is an abundant number, since it is smaller than the sum of its proper divisors (858342621690).

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

358348813830 is a wasteful number, since it uses less digits than its factorization.

358348813830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161705 (or 161696 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 358348813830 in words is "three hundred fifty-eight billion, three hundred forty-eight million, eight hundred thirteen thousand, eight hundred thirty".