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314206992 = 24331126011
BaseRepresentation
bin10010101110100…
…110101100010000
3210220020100222000
4102232212230100
51120414110432
651102314000
710533500241
oct2256465420
9726210860
10314206992
111513a8400
1289288900
13501334c8
142da30cc8
151c8b857c
hex12ba6b10

314206992 has 120 divisors (see below), whose sum is σ = 991499040. Its totient is φ = 95198400.

The previous prime is 314206987. The next prime is 314206999. The reversal of 314206992 is 299602413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314206999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49267 + ... + 55277.

It is an arithmetic number, because the mean of its divisors is an integer number (8262492).

Almost surely, 2314206992 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 314206992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495749520).

314206992 is an abundant number, since it is smaller than the sum of its proper divisors (677292048).

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

314206992 is a wasteful number, since it uses less digits than its factorization.

314206992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 314206992 is about 17725.8848016115. The cubic root of 314206992 is about 679.8377582949.

The spelling of 314206992 in words is "three hundred fourteen million, two hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6011 6534 8712 12022 13068 17424 18033 24044 26136 36066 48088 52272 54099 66121 72132 96176 108198 132242 144264 162297 198363 216396 264484 288528 324594 396726 432792 528968 595089 649188 727331 793452 865584 1057936 1190178 1298376 1454662 1586904 1785267 2181993 2380356 2596752 2909324 3173808 3570534 4363986 4760712 5818648 6545979 7141068 8727972 9521424 11637296 13091958 14282136 17455944 19637937 26183916 28564272 34911888 39275874 52367832 78551748 104735664 157103496 314206992