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1740242712 = 233137437507
BaseRepresentation
bin110011110111001…
…1111111100011000
311111021120111012210
41213232133330120
512031000231322
6444403235120
761060550625
oct14756377430
94437514183
101740242712
1181335a11a
12406978aa0
132196c9720
1412719d34c
15a2ba270c
hex67b9ff18

1740242712 has 64 divisors (see below), whose sum is σ = 4692199680. Its totient is φ = 534667392.

The previous prime is 1740242711. The next prime is 1740242729. The reversal of 1740242712 is 2172420471.

It is a super-2 number, since 2×17402427122 = 6056889393338229888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1740242712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1740242711) 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, 228063 + ... + 235569.

It is an arithmetic number, because the mean of its divisors is an integer number (73315620).

Almost surely, 21740242712 is an apocalyptic number.

1740242712 is a gapful number since it is divisible by the number (12) 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 1740242712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346099840).

1740242712 is an abundant number, since it is smaller than the sum of its proper divisors (2951956968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1740242712 is a wasteful number, since it uses less digits than its factorization.

1740242712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 1740242712 is about 41716.2164152024. The cubic root of 1740242712 is about 1202.8272945508.

The spelling of 1740242712 in words is "one billion, seven hundred forty million, two hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 743 1486 2229 2972 4458 5944 7507 8916 9659 15014 17832 19318 22521 28977 30028 38636 45042 57954 60056 77272 90084 97591 115908 180168 195182 231816 292773 390364 585546 780728 1171092 2342184 5577701 11155402 16733103 22310804 33466206 44621608 66932412 72510113 133864824 145020226 217530339 290040452 435060678 580080904 870121356 1740242712