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314430354 = 232721929647
BaseRepresentation
bin10010101111011…
…101001110010010
3210220122201100200
4102233131032102
51120443232404
651111200030
710535420400
oct2257351622
9726581320
10314430354
111515401a7
1289376016
13501b1084
142da8c470
151c90e839
hex12bdd392

314430354 has 144 divisors (see below), whose sum is σ = 864302400. Its totient is φ = 82047168.

The previous prime is 314430343. The next prime is 314430359. The reversal of 314430354 is 453034413.

It is not an unprimeable number, because it can be changed into a prime (314430359) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485659 + ... + 486305.

It is an arithmetic number, because the mean of its divisors is an integer number (6002100).

Almost surely, 2314430354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314430354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432151200).

314430354 is an abundant number, since it is smaller than the sum of its proper divisors (549872046).

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

314430354 is a wasteful number, since it uses less digits than its factorization.

314430354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 314430354 is about 17732.1841294297. The cubic root of 314430354 is about 679.9988134351.

Adding to 314430354 its reverse (453034413), we get a palindrome (767464767).

The spelling of 314430354 in words is "three hundred fourteen million, four hundred thirty thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 49 57 58 63 87 98 114 126 133 147 171 174 203 261 266 294 342 399 406 441 522 551 609 647 798 882 931 1102 1197 1218 1294 1421 1653 1827 1862 1941 2394 2793 2842 3306 3654 3857 3882 4263 4529 4959 5586 5823 7714 8379 8526 9058 9918 11571 11646 12293 12789 13587 16758 18763 23142 24586 25578 26999 27174 31703 34713 36879 37526 40761 53998 56289 63406 69426 73758 80997 81522 86051 95109 110637 112578 131341 161994 168867 172102 190218 221274 242991 258153 262682 285327 337734 356497 394023 485982 516306 570654 602357 712994 774459 788046 919387 1069491 1182069 1204714 1548918 1807071 1838774 2138982 2364138 2495479 2758161 3208473 3614142 4990958 5421213 5516322 6416946 7486437 8274483 10842426 14972874 16548966 17468353 22459311 34936706 44918622 52405059 104810118 157215177 314430354