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34809345 = 345611409
BaseRepresentation
bin1000010011001…
…0011000000001
32102111111110000
42010302120001
532402344340
63242030213
7601605654
oct204623001
972444400
1034809345
111871585a
12b7a8369
13729a05c
1448a189b
1530c8d30
hex2132601

34809345 has 40 divisors (see below), whose sum is σ = 63466920. Its totient is φ = 18247680.

The previous prime is 34809343. The next prime is 34809361. The reversal of 34809345 is 54390843.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 31438449 = 1836^2 + 5607^2 .

It is not a de Polignac number, because 34809345 - 21 = 34809343 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34809343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24001 + ... + 25409.

It is an arithmetic number, because the mean of its divisors is an integer number (1586673).

Almost surely, 234809345 is an apocalyptic number.

It is an amenable number.

34809345 is a deficient number, since it is larger than the sum of its proper divisors (28657575).

34809345 is a wasteful number, since it uses less digits than its factorization.

34809345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34809345 is about 5899.9444912643. The cubic root of 34809345 is about 326.5116015161.

The spelling of 34809345 in words is "thirty-four million, eight hundred nine thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 305 405 549 915 1409 1647 2745 4227 4941 7045 8235 12681 21135 24705 38043 63405 85949 114129 190215 257847 429745 570645 773541 1289235 2320623 3867705 6961869 11603115 34809345