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34971017943 = 32331109149993
BaseRepresentation
bin100000100100011011…
…110110001011010111
310100021012010210000210
4200210123312023113
51033110040033233
624022050140503
72345420514351
oct404433661327
9110235123023
1034971017943
1113916256424
12693b881733
1333b4217134
14199a7240d1
15d9a258163
hex8246f62d7

34971017943 has 32 divisors (see below), whose sum is σ = 50685972480. Its totient is φ = 21382859520.

The previous prime is 34971017899. The next prime is 34971017953.

34971017943 is nontrivially palindromic in base 10.

34971017943 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34971017943 - 216 = 34970952407 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34971017892 and 34971017901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34971017953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158155 + ... + 308147.

It is an arithmetic number, because the mean of its divisors is an integer number (1583936640).

Almost surely, 234971017943 is an apocalyptic number.

34971017943 is a deficient number, since it is larger than the sum of its proper divisors (15714954537).

34971017943 is a wasteful number, since it uses less digits than its factorization.

34971017943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150159.

The product of its (nonzero) digits is 571536, while the sum is 48.

It can be divided in two parts, 349710 and 17943, that added together give a triangular number (367653 = T857).

The spelling of 34971017943 in words is "thirty-four billion, nine hundred seventy-one million, seventeen thousand, nine hundred forty-three".

Divisors: 1 3 23 31 69 93 109 327 713 2139 2507 3379 7521 10137 77717 149993 233151 449979 3449839 4649783 10349517 13949349 16349237 49047711 106945009 320835027 376032451 506826347 1128097353 1520479041 11657005981 34971017943