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1741045068 = 2232728111217
BaseRepresentation
bin110011111000110…
…0011110101001100
311111100002020211200
41213301203311030
512031201420233
6444432345500
761100432100
oct14761436514
94440066750
101741045068
11813857a24
124070a5290
1321991a9a9
1412732b900
15a2cb0313
hex67c63d4c

1741045068 has 108 divisors (see below), whose sum is σ = 5130025992. Its totient is φ = 496419840.

The previous prime is 1741045057. The next prime is 1741045081. The reversal of 1741045068 is 8605401471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1429996 + ... + 1431212.

Almost surely, 21741045068 is an apocalyptic number.

1741045068 is a gapful number since it is divisible by the number (18) 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 1741045068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565012996).

1741045068 is an abundant number, since it is smaller than the sum of its proper divisors (3388980924).

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

1741045068 is a wasteful number, since it uses less digits than its factorization.

1741045068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1741045068 is about 41725.8321426907. The cubic root of 1741045068 is about 1203.0121245951.

The spelling of 1741045068 in words is "one billion, seven hundred forty-one million, forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 811 882 1217 1622 1764 2433 2434 3244 3651 4866 4868 5677 7299 7302 8519 9732 10953 11354 14598 14604 17031 17038 21906 22708 25557 29196 34062 34076 39739 43812 51093 51114 59633 68124 76671 79478 102186 102228 119217 119266 153342 158956 178899 204372 238434 238532 306684 357651 357798 476868 536697 715302 715596 986987 1073394 1430604 1973974 2146788 2960961 3947948 5921922 6908909 8882883 11843844 13817818 17765766 20726727 27635636 35531532 41453454 48362363 62180181 82906908 96724726 124360362 145087089 193449452 248720724 290174178 435261267 580348356 870522534 1741045068