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34001973 = 323777997
BaseRepresentation
bin1000000110110…
…1010000110101
32100222110221100
42001231100311
532201030343
63212440313
7562004055
oct201552065
970873840
1034001973
1118214205
12b479099
137076715
144731565
152eb99d3
hex206d435

34001973 has 6 divisors (see below), whose sum is σ = 49113974. Its totient is φ = 22667976.

The previous prime is 34001969. The next prime is 34001983. The reversal of 34001973 is 37910043.

It can be written as a sum of positive squares in only one way, i.e., 32695524 + 1306449 = 5718^2 + 1143^2 .

It is not a de Polignac number, because 34001973 - 22 = 34001969 is a prime.

It is a super-2 number, since 2×340019732 = 2312268335785458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1888990 + ... + 1889007.

Almost surely, 234001973 is an apocalyptic number.

It is an amenable number.

34001973 is a deficient number, since it is larger than the sum of its proper divisors (15112001).

34001973 is a wasteful number, since it uses less digits than its factorization.

34001973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778003 (or 3778000 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 34001973 is about 5831.1210757452. The cubic root of 34001973 is about 323.9674464321.

The spelling of 34001973 in words is "thirty-four million, one thousand, nine hundred seventy-three".

Divisors: 1 3 9 3777997 11333991 34001973