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34345523454 = 23114155722787
BaseRepresentation
bin11111111111001001…
…110001100011111110
310021122121011100220020
4133333021301203332
51030314423222304
623440023433010
72324054063304
oct377711614376
9107577140806
1034345523454
1113625175130
1267a62b5766
133314763258
14193b622274
15d603a15d9
hex7ff2718fe

34345523454 has 64 divisors (see below), whose sum is σ = 76904577792. Its totient is φ = 10135212800.

The previous prime is 34345523449. The next prime is 34345523461. The reversal of 34345523454 is 45432554343.

It is a super-2 number, since 2×343455234542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495849 + ... + 1518635.

It is an arithmetic number, because the mean of its divisors is an integer number (1201634028).

Almost surely, 234345523454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345523454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38452288896).

34345523454 is an abundant number, since it is smaller than the sum of its proper divisors (42559054338).

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

34345523454 is a wasteful number, since it uses less digits than its factorization.

34345523454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23401.

The product of its digits is 1728000, while the sum is 42.

The spelling of 34345523454 in words is "thirty-four billion, three hundred forty-five million, five hundred twenty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 557 902 1114 1353 1671 2706 3342 6127 12254 18381 22787 22837 36762 45574 45674 68361 68511 136722 137022 250657 251207 501314 502414 751971 753621 934267 1503942 1507242 1868534 2802801 5605602 10276937 12692359 20553874 25384718 30830811 38077077 61661622 76154154 139615949 279231898 418847847 520386719 837695694 1040773438 1561160157 3122320314 5724253909 11448507818 17172761727 34345523454