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314347348 = 227223103677
BaseRepresentation
bin10010101111001…
…000111101010100
3210220111111111101
4102233020331110
51120433103343
651105315444
710534623400
oct2257107524
9726444441
10314347348
111514938a7
1289335b84
1350182363
142da6a100
151c8e4e4d
hex12bc8f54

314347348 has 72 divisors (see below), whose sum is σ = 675222912. Its totient is φ = 127423296.

The previous prime is 314347333. The next prime is 314347349. The reversal of 314347348 is 843743413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314347349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463986 + ... + 464662.

It is an arithmetic number, because the mean of its divisors is an integer number (9378096).

Almost surely, 2314347348 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 314347348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337611456).

314347348 is an abundant number, since it is smaller than the sum of its proper divisors (360875564).

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

314347348 is a wasteful number, since it uses less digits than its factorization.

314347348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 314347348 is about 17729.8434285247. The cubic root of 314347348 is about 679.9389708781.

The spelling of 314347348 in words is "three hundred fourteen million, three hundred forty-seven thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 103 161 196 206 322 412 644 677 721 1127 1354 1442 2254 2369 2708 2884 4508 4738 4739 5047 9476 9478 10094 15571 16583 18956 20188 31142 33166 33173 62284 66332 66346 69731 108997 116081 132692 139462 217994 232162 278924 435988 464324 488117 762979 976234 1525958 1603813 1952468 3051916 3207626 3416819 6415252 6833638 11226691 13667276 22453382 44906764 78586837 157173674 314347348