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319289274 = 232173197347
BaseRepresentation
bin10011000001111…
…111011110111010
3211020210120112200
4103001333132322
51123214224044
651403251030
710624625343
oct2301773672
9736716480
10319289274
11154259837
128ab19a76
13511c2885
14305950ca
151d06e369
hex1307f7ba

319289274 has 96 divisors (see below), whose sum is σ = 766112256. Its totient is φ = 95662080.

The previous prime is 319289261. The next prime is 319289279. The reversal of 319289274 is 472982913.

319289274 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (319289279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919969 + ... + 920315.

It is an arithmetic number, because the mean of its divisors is an integer number (7980336).

Almost surely, 2319289274 is an apocalyptic number.

319289274 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 319289274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383056128).

319289274 is an abundant number, since it is smaller than the sum of its proper divisors (446822982).

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

319289274 is a wasteful number, since it uses less digits than its factorization.

319289274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 319289274 is about 17868.6673817607. The cubic root of 319289274 is about 683.4836181585.

The spelling of 319289274 in words is "three hundred nineteen million, two hundred eighty-nine thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 97 102 153 186 194 279 291 306 347 527 558 582 694 873 1041 1054 1581 1649 1746 2082 3007 3123 3162 3298 4743 4947 5899 6014 6246 9021 9486 9894 10757 11798 14841 17697 18042 21514 27063 29682 32271 33659 35394 51119 53091 54126 64542 67318 96813 100977 102238 106182 153357 182869 193626 201954 302931 306714 365738 460071 548607 572203 605862 920142 1043429 1097214 1144406 1645821 1716609 2086858 3130287 3291642 3433218 5149827 6260574 9390861 10299654 17738293 18781722 35476586 53214879 106429758 159644637 319289274