Base | Representation |
---|---|
bin | 1000110101010111… |
… | …0010110001000000 |
3 | 20010021000112122100 |
4 | 2031111302301000 |
5 | 14324023103131 |
6 | 1031145110400 |
7 | 112522502202 |
oct | 21525626100 |
9 | 6107015570 |
10 | 2371300416 |
11 | 10075a0111 |
12 | 562188400 |
13 | 2ba37a854 |
14 | 186d0c772 |
15 | dd2a77e6 |
hex | 8d572c40 |
2371300416 has 63 divisors (see below), whose sum is σ = 6800256021. Its totient is φ = 790043904.
The previous prime is 2371300411. The next prime is 2371300423. The reversal of 2371300416 is 6140031732.
The square root of 2371300416 is 48696.
It is a perfect power (a square), and thus also a powerful number.
2371300416 is a `hidden beast` number, since 237 + 13 + 0 + 0 + 416 = 666.
It can be written as a sum of positive squares in only one way, i.e., 2352638016 + 18662400 = 48504^2 + 4320^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 2371300416.
It is not an unprimeable number, because it can be changed into a prime (2371300411) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1167690 + ... + 1169718.
Almost surely, 22371300416 is an apocalyptic number.
2371300416 is the 48696-th square number.
It is an amenable number.
2371300416 is an abundant number, since it is smaller than the sum of its proper divisors (4428955605).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2371300416 is an frugal number, since it uses more digits than its factorization.
2371300416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4076 (or 2034 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The cubic root of 2371300416 is about 1333.5076940866.
The spelling of 2371300416 in words is "two billion, three hundred seventy-one million, three hundred thousand, four hundred sixteen".
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