Base | Representation |
---|---|
bin | 10110000011100… |
… | …001011001010000 |
3 | 221210021001201100 |
4 | 112003201121100 |
5 | 1224211200333 |
6 | 100414504400 |
7 | 12112064151 |
oct | 2603413120 |
9 | 853231640 |
10 | 370021968 |
11 | 17a95aa88 |
12 | a3b05100 |
13 | 5b876614 |
14 | 371dd928 |
15 | 22741213 |
hex | 160e1650 |
370021968 has 90 divisors (see below), whose sum is σ = 1050984506. Its totient is φ = 121527936.
The previous prime is 370021963. The next prime is 370021969. The reversal of 370021968 is 869120073.
It can be written as a sum of positive squares in only one way, i.e., 321413184 + 48608784 = 17928^2 + 6972^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (370021963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 991830 + ... + 992202.
Almost surely, 2370021968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 370021968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525492253).
370021968 is an abundant number, since it is smaller than the sum of its proper divisors (680962538).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
370021968 is a wasteful number, since it uses less digits than its factorization.
370021968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 553 (or 461 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 370021968 is about 19235.9550841647. The cubic root of 370021968 is about 717.9196429857.
The spelling of 370021968 in words is "three hundred seventy million, twenty-one thousand, nine hundred sixty-eight".
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