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34305440 = 2551316493
BaseRepresentation
bin1000001011011…
…1010110100000
32101112220012212
42002313112200
532240233230
63223141252
7564406601
oct202672640
971486185
1034305440
1118401204
12b5a4828
1371518a0
1447adda8
153029895
hex20b75a0

34305440 has 48 divisors (see below), whose sum is σ = 87286248. Its totient is φ = 12665856.

The previous prime is 34305419. The next prime is 34305451. The reversal of 34305440 is 4450343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10995856 + 23309584 = 3316^2 + 4828^2 .

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 7 ways as a sum of consecutive naturals, for example, 6167 + ... + 10326.

Almost surely, 234305440 is an apocalyptic number.

It is an amenable number.

34305440 is an abundant number, since it is smaller than the sum of its proper divisors (52980808).

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

34305440 is a wasteful number, since it uses less digits than its factorization.

34305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16521 (or 16513 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 34305440 is about 5857.0845990134. The cubic root of 34305440 is about 324.9283944811.

Adding to 34305440 its reverse (4450343), we get a palindrome (38755783).

The spelling of 34305440 in words is "thirty-four million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 16493 32986 65972 82465 131944 164930 214409 263888 329860 428818 527776 659720 857636 1072045 1319440 1715272 2144090 2638880 3430544 4288180 6861088 8576360 17152720 34305440