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34794187024 = 24466332
BaseRepresentation
bin100000011001111001…
…010010100100010000
310022210212101211121111
4200121321102210100
51032224302441044
623552332103104
72341142465332
oct403171224420
9108725354544
1034794187024
1113835458773
1268b0604a94
1333866b285c
141981053452
15d89978b34
hex819e52910

34794187024 has 15 divisors (see below), whose sum is σ = 67415183013. Its totient is φ = 17396720448.

The previous prime is 34794187003. The next prime is 34794187031. The reversal of 34794187024 is 42078149743.

The square root of 34794187024 is 186532.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8689968400 + 26104218624 = 93220^2 + 161568^2 .

It is a super-2 number, since 2×347941870242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 722812 + ... + 769444.

Almost surely, 234794187024 is an apocalyptic number.

34794187024 is the 186532-nd square number.

It is an amenable number.

34794187024 is a deficient number, since it is larger than the sum of its proper divisors (32620995989).

34794187024 is an frugal number, since it uses more digits than its factorization.

34794187024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93274 (or 46635 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

Multiplying 34794187024 by its sum of digits (49), we get a square (1704915164176 = 13057242).

The spelling of 34794187024 in words is "thirty-four billion, seven hundred ninety-four million, one hundred eighty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 46633 93266 186532 373064 746128 2174636689 4349273378 8698546756 17397093512 34794187024