Base | Representation |
---|---|
bin | 1000101101111001… |
… | …1001010100010000 |
3 | 20001002010100222012 |
4 | 2023132121110100 |
5 | 14243020013130 |
6 | 1024110202052 |
7 | 111662452316 |
oct | 21336312420 |
9 | 6032110865 |
10 | 2340001040 |
11 | aa0962463 |
12 | 5537b3328 |
13 | 2b3a3c300 |
14 | 182ac20b6 |
15 | da673995 |
hex | 8b799510 |
2340001040 has 120 divisors (see below), whose sum is σ = 6238348488. Its totient is φ = 813096960.
The previous prime is 2340001033. The next prime is 2340001043. The reversal of 2340001040 is 401000432.
It can be written as a sum of positive squares in 12 ways, for example, as 874030096 + 1465970944 = 29564^2 + 38288^2 .
It is not an unprimeable number, because it can be changed into a prime (2340001043) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224750 + ... + 234930.
Almost surely, 22340001040 is an apocalyptic number.
2340001040 is a gapful number since it is divisible by the number (20) 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 2340001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119174244).
2340001040 is an abundant number, since it is smaller than the sum of its proper divisors (3898347448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2340001040 is a wasteful number, since it uses less digits than its factorization.
2340001040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10237 (or 10218 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 2340001040 is about 48373.5572394671. The cubic root of 2340001040 is about 1327.6145909454.
Adding to 2340001040 its reverse (401000432), we get a palindrome (2741001472).
It can be divided in two parts, 234000 and 1040, that multiplied together give a square (243360000 = 156002).
The spelling of 2340001040 in words is "two billion, three hundred forty million, one thousand, forty".
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