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319995488 = 25174114347
BaseRepresentation
bin10011000100101…
…011111001100000
3211022010110021202
4103010223321200
51123404323423
651430340332
710633626311
oct2304537140
9738113252
10319995488
111546a138a
128b1ba6a8
13513ac157
14306da608
151d15d728
hex1312be60

319995488 has 48 divisors (see below), whose sum is σ = 683366544. Its totient is φ = 146903040.

The previous prime is 319995469. The next prime is 319995491. The reversal of 319995488 is 884599913.

319995488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3199954882 = 204794224680716288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15131 + ... + 29477.

It is an arithmetic number, because the mean of its divisors is an integer number (14236803).

Almost surely, 2319995488 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 319995488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341683272).

319995488 is an abundant number, since it is smaller than the sum of its proper divisors (363371056).

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

319995488 is a wasteful number, since it uses less digits than its factorization.

319995488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14407 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 56.

The square root of 319995488 is about 17888.4177053198. The cubic root of 319995488 is about 683.9871639008.

The spelling of 319995488 in words is "three hundred nineteen million, nine hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 5576 11152 14347 22304 28694 57388 114776 229552 243899 459104 487798 588227 975596 1176454 1951192 2352908 3902384 4705816 7804768 9411632 9999859 18823264 19999718 39999436 79998872 159997744 319995488