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34834443305697 = 3273311670476349
BaseRepresentation
bin1111110101110100001101…
…00111101000001011100001
311120100010210020200102022200
413322322012213220023201
514031211414441240242
6202030420005123413
710223463656435250
oct772720647501341
9146303706612280
1034834443305697
1110110228128812
123aa71946b9569
131658b48c927b9
14885dd3248797
154061ccce004c
hex1fae869e82e1

34834443305697 has 24 divisors (see below), whose sum is σ = 57678207412800. Its totient is φ = 19845259014240.

The previous prime is 34834443305687. The next prime is 34834443305699. The reversal of 34834443305697 is 79650334443843.

34834443305697 is a `hidden beast` number, since 3 + 4 + 8 + 34 + 4 + 4 + 3 + 30 + 569 + 7 = 666.

It is not a de Polignac number, because 34834443305697 - 223 = 34834434917089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34834443305699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835217322 + ... + 835259027.

It is an arithmetic number, because the mean of its divisors is an integer number (2403258642200).

Almost surely, 234834443305697 is an apocalyptic number.

It is an amenable number.

34834443305697 is a deficient number, since it is larger than the sum of its proper divisors (22843764107103).

34834443305697 is a wasteful number, since it uses less digits than its factorization.

34834443305697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670476693 (or 1670476690 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 63.

The spelling of 34834443305697 in words is "thirty-four trillion, eight hundred thirty-four billion, four hundred forty-three million, three hundred five thousand, six hundred ninety-seven".

Divisors: 1 3 7 9 21 63 331 993 2317 2979 6951 20853 1670476349 5011429047 11693334443 15034287141 35080003329 105240009987 552927671519 1658783014557 3870493700633 4976349043671 11611481101899 34834443305697