Base | Representation |
---|---|
bin | 101100001111011… |
… | …010001001100000 |
3 | 1220201122112102200 |
4 | 230033122021200 |
5 | 3010003034033 |
6 | 201352413200 |
7 | 24251623410 |
oct | 5417321140 |
9 | 1821575380 |
10 | 742236768 |
11 | 350a78519 |
12 | 1886a7200 |
13 | baa0a070 |
14 | 70810640 |
15 | 45267013 |
hex | 2c3da260 |
742236768 has 288 divisors, whose sum is σ = 2630025216. Its totient is φ = 193342464.
The previous prime is 742236763. The next prime is 742236773. The reversal of 742236768 is 867632247.
It is an interprime number because it is at equal distance from previous prime (742236763) and next prime (742236773).
It is a tau number, because it is divible by the number of its divisors (288).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (742236763) 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 47 ways as a sum of consecutive naturals, for example, 3328305 + ... + 3328527.
It is an arithmetic number, because the mean of its divisors is an integer number (9132032).
Almost surely, 2742236768 is an apocalyptic number.
742236768 is a gapful number since it is divisible by the number (78) 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 742236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315012608).
742236768 is an abundant number, since it is smaller than the sum of its proper divisors (1887788448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
742236768 is a wasteful number, since it uses less digits than its factorization.
742236768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 375 counting only the distinct ones).
The product of its digits is 677376, while the sum is 45.
The square root of 742236768 is about 27244.0226104737. The cubic root of 742236768 is about 905.4145889985.
The spelling of 742236768 in words is "seven hundred forty-two million, two hundred thirty-six thousand, seven hundred sixty-eight".
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