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314314440 = 233511221647
BaseRepresentation
bin10010101111000…
…000111011001000
3210220102211100120
4102233000323020
51120431030230
651104503240
710534425426
oct2257007310
9726384316
10314314440
11151471100
128931ab20
135017039b
142da5c116
151c8da310
hex12bc0ec8

314314440 has 96 divisors (see below), whose sum is σ = 1036506240. Its totient is φ = 76193920.

The previous prime is 314314439. The next prime is 314314453. The reversal of 314314440 is 44413413.

314314440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 314314440.

It is an unprimeable number.

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, 3697 + ... + 25343.

It is an arithmetic number, because the mean of its divisors is an integer number (10796940).

Almost surely, 2314314440 is an apocalyptic number.

314314440 is a gapful number since it is divisible by the number (30) 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 314314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518253120).

314314440 is an abundant number, since it is smaller than the sum of its proper divisors (722191800).

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

314314440 is a wasteful number, since it uses less digits than its factorization.

314314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 314314440 is about 17728.9153644548. The cubic root of 314314440 is about 679.9152431847.

Adding to 314314440 its reverse (44413413), we get a palindrome (358727853).

The spelling of 314314440 in words is "three hundred fourteen million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 21647 43294 64941 86588 108235 129882 173176 216470 238117 259764 324705 432940 476234 519528 649410 714351 865880 952468 1190585 1298820 1428702 1904936 2381170 2597640 2619287 2857404 3571755 4762340 5238574 5714808 7143510 7857861 9524680 10477148 13096435 14287020 15715722 20954296 26192870 28574040 31431444 39289305 52385740 62862888 78578610 104771480 157157220 314314440