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314460146 = 2721113191181
BaseRepresentation
bin10010101111100…
…100011111110010
3210220201020020002
4102233210133302
51121000211041
651111550002
710535603300
oct2257443762
9726636202
10314460146
11151560620
128938b302
13501c17c0
142da99270
151c91859b
hex12be47f2

314460146 has 96 divisors (see below), whose sum is σ = 679129920. Its totient is φ = 107049600.

The previous prime is 314460131. The next prime is 314460173. The reversal of 314460146 is 641064413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265676 + ... + 266856.

It is an arithmetic number, because the mean of its divisors is an integer number (7074270).

Almost surely, 2314460146 is an apocalyptic number.

314460146 is an abundant number, since it is smaller than the sum of its proper divisors (364669774).

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

314460146 is a wasteful number, since it uses less digits than its factorization.

314460146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 314460146 is about 17733.0241639716. The cubic root of 314460146 is about 680.0202891870.

The spelling of 314460146 in words is "three hundred fourteen million, four hundred sixty thousand, one hundred forty-six".

Divisors: 1 2 7 11 13 14 19 22 26 38 49 77 91 98 133 143 154 182 209 247 266 286 418 494 539 637 931 1001 1078 1181 1274 1463 1729 1862 2002 2362 2717 2926 3458 5434 7007 8267 10241 12103 12991 14014 15353 16534 19019 20482 22439 24206 25982 30706 38038 44878 57869 90937 107471 115738 133133 157073 168883 181874 214942 246829 266266 291707 314146 337766 493658 583414 636559 752297 1099511 1182181 1273118 1504594 1727803 2041949 2199022 2364362 3208777 3455606 4083898 6417554 8275267 12094621 14293643 16550534 22461439 24189242 28587286 44922878 157230073 314460146