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34664040 = 2332596289
BaseRepresentation
bin1000010000111…
…0111001101000
32102020010010100
42010032321220
532333222130
63234545400
7600432225
oct204167150
972203110
1034664040
1118626674
12b738260
137248b88
14486494c
15309ac60
hex210ee68

34664040 has 48 divisors (see below), whose sum is σ = 112659300. Its totient is φ = 9243648.

The previous prime is 34664039. The next prime is 34664053. The reversal of 34664040 is 4046643.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34644996 + 19044 = 5886^2 + 138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34663995 and 34664013.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47785 + ... + 48504.

Almost surely, 234664040 is an apocalyptic number.

34664040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34664040 is an abundant number, since it is smaller than the sum of its proper divisors (77995260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34664040 is a wasteful number, since it uses less digits than its factorization.

34664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96306 (or 96299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34664040 is about 5887.6175147508. The cubic root of 34664040 is about 326.0566476641.

The spelling of 34664040 in words is "thirty-four million, six hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 96289 192578 288867 385156 481445 577734 770312 866601 962890 1155468 1444335 1733202 1925780 2310936 2888670 3466404 3851560 4333005 5777340 6932808 8666010 11554680 17332020 34664040