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312727194 = 2321319312269
BaseRepresentation
bin10010101000111…
…101011010011010
3210210110012001200
4102220331122122
51120024232234
651010455030
710515065043
oct2250753232
9723405050
10312727194
1115058762a
1288894476
134ca35aa0
142d7678ca
151c6c4d99
hex12a3d69a

312727194 has 96 divisors (see below), whose sum is σ = 793228800. Its totient is φ = 88179840.

The previous prime is 312727193. The next prime is 312727243. The reversal of 312727194 is 491727213.

It is a super-2 number, since 2×3127271942 = 195596595734227272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312727193) 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, 136692 + ... + 138960.

It is an arithmetic number, because the mean of its divisors is an integer number (8262800).

Almost surely, 2312727194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312727194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396614400).

312727194 is an abundant number, since it is smaller than the sum of its proper divisors (480501606).

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

312727194 is a wasteful number, since it uses less digits than its factorization.

312727194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2337 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 312727194 is about 17684.0943788479. The cubic root of 312727194 is about 678.7688174835.

The spelling of 312727194 in words is "three hundred twelve million, seven hundred twenty-seven thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 26 31 38 39 57 62 78 93 114 117 171 186 234 247 279 342 403 494 558 589 741 806 1178 1209 1482 1767 2223 2269 2418 3534 3627 4446 4538 5301 6807 7254 7657 10602 13614 15314 20421 22971 29497 40842 43111 45942 58994 68913 70339 86222 88491 129333 137826 140678 176982 211017 258666 265473 387999 422034 530946 560443 633051 775998 914407 1120886 1266102 1336441 1681329 1828814 2672882 2743221 3362658 4009323 5043987 5486442 8018646 8229663 10087974 12027969 16459326 17373733 24055938 34747466 52121199 104242398 156363597 312727194