Base | Representation |
---|---|
bin | 1110000101101011… |
… | …1011010011010000 |
3 | 100202120101001201110 |
4 | 3201122323103100 |
5 | 30221133312430 |
6 | 1423135533320 |
7 | 162501615342 |
oct | 34132732320 |
9 | 10676331643 |
10 | 3781932240 |
11 | 1670890739 |
12 | 89668a240 |
13 | 4836ac638 |
14 | 27c3cb292 |
15 | 17204c7b0 |
hex | e16bb4d0 |
3781932240 has 160 divisors (see below), whose sum is σ = 11951377920. Its totient is φ = 989134848.
The previous prime is 3781932239. The next prime is 3781932241. The reversal of 3781932240 is 422391873.
3781932240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (3781932239) and next prime (3781932241).
It is a super-2 number, since 2×37819322402 = 28606022935902835200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3781932241) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3279504 + ... + 3280656.
It is an arithmetic number, because the mean of its divisors is an integer number (74696112).
Almost surely, 23781932240 is an apocalyptic number.
3781932240 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 3781932240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975688960).
3781932240 is an abundant number, since it is smaller than the sum of its proper divisors (8169445680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3781932240 is a wasteful number, since it uses less digits than its factorization.
3781932240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1421 (or 1415 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 39.
The square root of 3781932240 is about 61497.4165311032. The cubic root of 3781932240 is about 1558.0136124528.
The spelling of 3781932240 in words is "three billion, seven hundred eighty-one million, nine hundred thirty-two thousand, two hundred forty".
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