Search a number
-
+
309940992 = 283414947
BaseRepresentation
bin10010011110010…
…101001100000000
3210121012122010000
4102132111030000
51113321102432
650431040000
710452312024
oct2236251400
9717178100
10309940992
11149a54289
1287970000
134c29b84a
142d240384
151c32457c
hex12795300

309940992 has 90 divisors (see below), whose sum is σ = 924249788. Its totient is φ = 103306752.

The previous prime is 309940933. The next prime is 309941039. The reversal of 309940992 is 299049903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13263 + ... + 28209.

Almost surely, 2309940992 is an apocalyptic number.

309940992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462124894).

309940992 is an abundant number, since it is smaller than the sum of its proper divisors (614308796).

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

309940992 is an equidigital number, since it uses as much as digits as its factorization.

309940992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14952 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 309940992 is about 17605.1410673133. The cubic root of 309940992 is about 676.7470005276.

The spelling of 309940992 in words is "three hundred nine million, nine hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 14947 20736 29894 44841 59788 89682 119576 134523 179364 239152 269046 358728 403569 478304 538092 717456 807138 956608 1076184 1210707 1434912 1614276 1913216 2152368 2421414 2869824 3228552 3826432 4304736 4842828 5739648 6457104 8609472 9685656 11479296 12914208 17218944 19371312 25828416 34437888 38742624 51656832 77485248 103313664 154970496 309940992