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1742311081 = 72672892
BaseRepresentation
bin110011111011001…
…1000111010101001
311111102110120111001
41213312120322221
512032012423311
6444515435001
761114254100
oct14766307251
94442416431
101742311081
11814542115
124075b5a61
13219c72004
1412757b037
15a2e604c1
hex67d98ea9

1742311081 has 27 divisors (see below), whose sum is σ = 2080849239. Its totient is φ = 1454590368.

The previous prime is 1742311049. The next prime is 1742311099. The reversal of 1742311081 is 1801132471.

The square root of 1742311081 is 41741.

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., 334560681 + 1407750400 = 18291^2 + 37520^2 .

It is not a de Polignac number, because 1742311081 - 25 = 1742311049 is a prime.

It is a super-3 number, since 3×17423110813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1742351081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19576485 + ... + 19576573.

Almost surely, 21742311081 is an apocalyptic number.

1742311081 is the 41741-st square number.

1742311081 is the 20871-st centered octagonal number.

It is an amenable number.

1742311081 is a deficient number, since it is larger than the sum of its proper divisors (338538158).

1742311081 is an frugal number, since it uses more digits than its factorization.

1742311081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The cubic root of 1742311081 is about 1203.3036468165.

The spelling of 1742311081 in words is "one billion, seven hundred forty-two million, three hundred eleven thousand, eighty-one".

Divisors: 1 7 49 67 89 469 623 3283 4361 4489 5963 7921 31423 41741 55447 219961 292187 388129 399521 530707 2796647 3714949 19576529 26004643 35557369 248901583 1742311081