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320011314 = 23741832239
BaseRepresentation
bin10011000100101…
…111110000110010
3211022011020222220
4103010233300302
51123410330224
651430541510
710634023410
oct2304576062
9738136886
10320011314
11154702267
128b207896
13513b640c
14307022b0
151d163279
hex1312fc32

320011314 has 64 divisors (see below), whose sum is σ = 758661120. Its totient is φ = 88087680.

The previous prime is 320011309. The next prime is 320011327. The reversal of 320011314 is 413110023.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320011293 and 320011302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141807 + ... + 144045.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2320011314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320011314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379330560).

320011314 is an abundant number, since it is smaller than the sum of its proper divisors (438649806).

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

320011314 is a wasteful number, since it uses less digits than its factorization.

320011314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 320011314 is about 17888.8600531169. The cubic root of 320011314 is about 683.9984396873.

Adding to 320011314 its reverse (413110023), we get a palindrome (733121337).

The spelling of 320011314 in words is "three hundred twenty million, eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 83 123 166 246 249 287 498 574 581 861 1162 1722 1743 2239 3403 3486 4478 6717 6806 10209 13434 15673 20418 23821 31346 47019 47642 71463 91799 94038 142926 183598 185837 275397 371674 550794 557511 642593 1115022 1285186 1300859 1927779 2601718 3855558 3902577 7619317 7805154 15238634 22857951 45715902 53335219 106670438 160005657 320011314