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3481934958 = 2335311032
BaseRepresentation
bin1100111110001010…
…0001110001101110
322222122212121211000
43033202201301232
524112333404313
61333301541130
7152166646605
oct31742416156
98878777730
103481934958
1115275092a7
128121147a6
134364b2b58
14250618a3c
15155a3e673
hexcf8a1c6e

3481934958 has 48 divisors (see below), whose sum is σ = 7890780240. Its totient is φ = 1137713616.

The previous prime is 3481934957. The next prime is 3481934977. The reversal of 3481934958 is 8594391843.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481934957) 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 23 ways as a sum of consecutive naturals, for example, 3156235 + ... + 3157337.

It is an arithmetic number, because the mean of its divisors is an integer number (164391255).

Almost surely, 23481934958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481934958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945390120).

3481934958 is an abundant number, since it is smaller than the sum of its proper divisors (4408845282).

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

3481934958 is an equidigital number, since it uses as much as digits as its factorization.

3481934958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 1161 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3481934958 is about 59007.9228409203. The cubic root of 3481934958 is about 1515.6777831891.

The spelling of 3481934958 in words is "three billion, four hundred eighty-one million, nine hundred thirty-four thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1103 1431 2206 2862 3309 6618 9927 19854 29781 58459 59562 116918 175377 350754 526131 1052262 1216609 1578393 2433218 3156786 3649827 7299654 10949481 21898962 32848443 64480277 65696886 128960554 193440831 386881662 580322493 1160644986 1740967479 3481934958