Base | Representation |
---|---|
bin | 1101111011110001… |
… | …0011001110000000 |
3 | 100122200010102200000 |
4 | 3132330103032000 |
5 | 30130012134222 |
6 | 1415052400000 |
7 | 161455305330 |
oct | 33674231600 |
9 | 10580112600 |
10 | 3740349312 |
11 | 164a369887 |
12 | 884776000 |
13 | 477bb045b |
14 | 276a850c0 |
15 | 16d5869ac |
hex | def13380 |
3740349312 has 384 divisors, whose sum is σ = 13098758400. Its totient is φ = 1040117760.
The previous prime is 3740349307. The next prime is 3740349323. The reversal of 3740349312 is 2139430473.
3740349312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8926639 + ... + 8927057.
It is an arithmetic number, because the mean of its divisors is an integer number (34111350).
Almost surely, 23740349312 is an apocalyptic number.
3740349312 is a gapful number since it is divisible by the number (32) 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 3740349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549379200).
3740349312 is an abundant number, since it is smaller than the sum of its proper divisors (9358409088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3740349312 is an equidigital number, since it uses as much as digits as its factorization.
3740349312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 496 (or 472 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The square root of 3740349312 is about 61158.3952699873. The cubic root of 3740349312 is about 1552.2823555433.
Adding to 3740349312 its reverse (2139430473), we get a palindrome (5879779785).
The spelling of 3740349312 in words is "three billion, seven hundred forty million, three hundred forty-nine thousand, three hundred twelve".
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