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320912064 = 26331116883
BaseRepresentation
bin10011001000001…
…011101011000000
3211100212000121000
4103020023223000
51124123141224
651502132000
710644464454
oct2310135300
9740760530
10320912064
11155167a90
128b581000
13516403c5
1430898664
151d2900c9
hex1320bac0

320912064 has 112 divisors (see below), whose sum is σ = 1029248640. Its totient is φ = 97240320.

The previous prime is 320912041. The next prime is 320912069. The reversal of 320912064 is 460219023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (320912069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10567 + ... + 27449.

It is an arithmetic number, because the mean of its divisors is an integer number (9189720).

Almost surely, 2320912064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514624320).

320912064 is an abundant number, since it is smaller than the sum of its proper divisors (708336576).

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

320912064 is a wasteful number, since it uses less digits than its factorization.

320912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16915 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 320912064 is about 17914.0186446258. The cubic root of 320912064 is about 684.6395987176.

The spelling of 320912064 in words is "three hundred twenty million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 16883 19008 33766 50649 67532 101298 135064 151947 185713 202596 270128 303894 371426 405192 455841 540256 557139 607788 742852 810384 911682 1080512 1114278 1215576 1485704 1620768 1671417 1823364 2228556 2431152 2971408 3241536 3342834 3646728 4457112 4862304 5014251 5942816 6685668 7293456 8914224 9724608 10028502 11885632 13371336 14586912 17828448 20057004 26742672 29173824 35656896 40114008 53485344 80228016 106970688 160456032 320912064