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314432300 = 2252713109317
BaseRepresentation
bin10010101111011…
…101101100101100
3210220122211000202
4102233131230230
51120443313200
651111213032
710535426150
oct2257355454
9726584022
10314432300
11151541706
1289377178
13501b1c20
142da8d060
151c9101d5
hex12bddb2c

314432300 has 144 divisors (see below), whose sum is σ = 850153920. Its totient is φ = 98288640.

The previous prime is 314432281. The next prime is 314432309. The reversal of 314432300 is 3234413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (314432309) by changing a digit.

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, 991742 + ... + 992058.

Almost surely, 2314432300 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 314432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425076960).

314432300 is an abundant number, since it is smaller than the sum of its proper divisors (535721620).

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

314432300 is a wasteful number, since it uses less digits than its factorization.

314432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314432300 is about 17732.2390013219. The cubic root of 314432300 is about 680.0002162629. Note that the first 3 decimals are identical.

Adding to 314432300 its reverse (3234413), we get a palindrome (317666713).

The spelling of 314432300 in words is "three hundred fourteen million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 109 130 140 175 182 218 260 317 325 350 364 436 455 545 634 650 700 763 910 1090 1268 1300 1417 1526 1585 1820 2180 2219 2275 2725 2834 3052 3170 3815 4121 4438 4550 5450 5668 6340 7085 7630 7925 8242 8876 9100 9919 10900 11095 14170 15260 15850 16484 19075 19838 20605 22190 28340 28847 31700 34553 35425 38150 39676 41210 44380 49595 55475 57694 69106 70850 76300 82420 99190 103025 110950 115388 138212 141700 144235 172765 198380 206050 221900 241871 247975 288470 345530 412100 449189 483742 495950 576940 691060 721175 863825 898378 967484 991900 1209355 1442350 1727650 1796756 2245945 2418710 2884700 3144323 3455300 4491890 4837420 6046775 6288646 8983780 11229725 12093550 12577292 15721615 22459450 24187100 31443230 44918900 62886460 78608075 157216150 314432300