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34321664 = 281310313
BaseRepresentation
bin1000001011101…
…1010100000000
32101120201110202
42002323110000
532241243124
63223344332
7564505106
oct202732400
971521422
1034321664
1118412413
12b5b20a8
1371590a0
1447b5c76
15302e5ae
hex20bb500

34321664 has 36 divisors (see below), whose sum is σ = 73786356. Its totient is φ = 15839232.

The previous prime is 34321663. The next prime is 34321709. The reversal of 34321664 is 46612343.

It can be written as a sum of positive squares in 2 ways, for example, as 9241600 + 25080064 = 3040^2 + 5008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1829 + ... + 8484.

It is an arithmetic number, because the mean of its divisors is an integer number (2049621).

Almost surely, 234321664 is an apocalyptic number.

It is an amenable number.

34321664 is an abundant number, since it is smaller than the sum of its proper divisors (39464692).

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

34321664 is a wasteful number, since it uses less digits than its factorization.

34321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10328 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 34321664 is about 5858.4694246876. The cubic root of 34321664 is about 324.9796089771.

The spelling of 34321664 in words is "thirty-four million, three hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 10313 20626 41252 82504 134069 165008 268138 330016 536276 660032 1072552 1320064 2145104 2640128 4290208 8580416 17160832 34321664