Base | Representation |
---|---|
bin | 101011110000101… |
… | …110011001000000 |
3 | 1220011111212202100 |
4 | 223300232121000 |
5 | 3000423140331 |
6 | 200504150400 |
7 | 24123353001 |
oct | 5360563100 |
9 | 1804455670 |
10 | 734193216 |
11 | 347484259 |
12 | 185a68400 |
13 | b9151b73 |
14 | 6d7191a8 |
15 | 446c8ae6 |
hex | 2bc2e640 |
734193216 has 63 divisors (see below), whose sum is σ = 2106297921. Its totient is φ = 244514304.
The previous prime is 734193211. The next prime is 734193217. The reversal of 734193216 is 612391437.
The square root of 734193216 is 27096.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 62346816 + 671846400 = 7896^2 + 25920^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (27216) is a multiple of the sum of its prime divisors (1134).
It is not an unprimeable number, because it can be changed into a prime (734193211) 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, 649740 + ... + 650868.
Almost surely, 2734193216 is an apocalyptic number.
734193216 is the 27096-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 734193216
734193216 is an abundant number, since it is smaller than the sum of its proper divisors (1372104705).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
734193216 is an equidigital number, since it uses as much as digits as its factorization.
734193216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2276 (or 1134 counting only the distinct ones).
The product of its digits is 27216, while the sum is 36.
The cubic root of 734193216 is about 902.1320711294.
Multiplying 734193216 by its sum of digits (36), we get a square (26430955776 = 1625762).
734193216 divided by its sum of digits (36) gives a square (20394256 = 45162).
The spelling of 734193216 in words is "seven hundred thirty-four million, one hundred ninety-three thousand, two hundred sixteen".
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