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321137064 = 23324460237
BaseRepresentation
bin10011001001000…
…010100110101000
3211101021110020100
4103021002212220
51124202341224
651511025400
710646422443
oct2311024650
9741243210
10321137064
11155301036
128b66b260
13516bb941
143091665a
151d2d6ac9
hex132429a8

321137064 has 24 divisors (see below), whose sum is σ = 869746410. Its totient is φ = 107045664.

The previous prime is 321136997. The next prime is 321137071. The reversal of 321137064 is 460731123.

It can be written as a sum of positive squares in only one way, i.e., 246176100 + 74960964 = 15690^2 + 8658^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 2230047 + ... + 2230190.

Almost surely, 2321137064 is an apocalyptic number.

It is an amenable number.

321137064 is an abundant number, since it is smaller than the sum of its proper divisors (548609346).

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

321137064 is a wasteful number, since it uses less digits than its factorization.

321137064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460249 (or 4460242 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 321137064 is about 17920.2975421727. The cubic root of 321137064 is about 684.7995676930.

Adding to 321137064 its reverse (460731123), we get a palindrome (781868187).

The spelling of 321137064 in words is "three hundred twenty-one million, one hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4460237 8920474 13380711 17840948 26761422 35681896 40142133 53522844 80284266 107045688 160568532 321137064