Base | Representation |
---|---|
bin | 101100001111001… |
… | …010111010100000 |
3 | 1220201112100211120 |
4 | 230033022322200 |
5 | 3004444034433 |
6 | 201351212240 |
7 | 24251243445 |
oct | 5417127240 |
9 | 1821470746 |
10 | 742174368 |
11 | 350a35651 |
12 | 188677080 |
13 | ba9b7840 |
14 | 707d59cc |
15 | 452537b3 |
hex | 2c3caea0 |
742174368 has 96 divisors (see below), whose sum is σ = 2142878976. Its totient is φ = 223484928.
The previous prime is 742174339. The next prime is 742174369. The reversal of 742174368 is 863471247.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (742174369) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52330 + ... + 64982.
It is an arithmetic number, because the mean of its divisors is an integer number (22321656).
Almost surely, 2742174368 is an apocalyptic number.
742174368 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 742174368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071439488).
742174368 is an abundant number, since it is smaller than the sum of its proper divisors (1400704608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
742174368 is a wasteful number, since it uses less digits than its factorization.
742174368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12726 (or 12718 counting only the distinct ones).
The product of its digits is 225792, while the sum is 42.
The square root of 742174368 is about 27242.8773810697. The cubic root of 742174368 is about 905.3892154896.
The spelling of 742174368 in words is "seven hundred forty-two million, one hundred seventy-four thousand, three hundred sixty-eight".
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