Search a number
-
+
314852496 = 243719149331
BaseRepresentation
bin10010110001000…
…100010010010000
3210221110011102120
4102301010102100
51121100234441
651124214240
710542126210
oct2261042220
9727404376
10314852496
111517a9382
128953a380
13502cb26a
142db5c240
151c994966
hex12c44490

314852496 has 160 divisors (see below), whose sum is σ = 988032000. Its totient is φ = 84395520.

The previous prime is 314852491. The next prime is 314852509. The reversal of 314852496 is 694258413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (314852491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951051 + ... + 951381.

It is an arithmetic number, because the mean of its divisors is an integer number (6175200).

Almost surely, 2314852496 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 314852496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494016000).

314852496 is an abundant number, since it is smaller than the sum of its proper divisors (673179504).

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

314852496 is a wasteful number, since it uses less digits than its factorization.

314852496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 314852496 is about 17744.0834082801. The cubic root of 314852496 is about 680.3029906959.

The spelling of 314852496 in words is "three hundred fourteen million, eight hundred fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 149 152 168 228 266 298 304 331 336 399 447 456 532 596 662 798 894 912 993 1043 1064 1192 1324 1596 1788 1986 2086 2128 2317 2384 2648 2831 3129 3192 3576 3972 4172 4634 5296 5662 6258 6289 6384 6951 7152 7944 8344 8493 9268 11324 12516 12578 13902 15888 16688 16986 18536 18867 19817 22648 25032 25156 27804 33972 37072 37734 39634 44023 45296 49319 50064 50312 55608 59451 67944 75468 79268 88046 98638 100624 111216 118902 132069 135888 147957 150936 158536 176092 197276 237804 264138 295914 301872 317072 345233 352184 394552 475608 528276 591828 690466 704368 789104 937061 951216 1035699 1056552 1183656 1380932 1874122 2071398 2113104 2367312 2761864 2811183 3748244 4142796 5523728 5622366 6559427 7496488 8285592 11244732 13118854 14992976 16571184 19678281 22489464 26237708 39356562 44978928 52475416 78713124 104950832 157426248 314852496