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314320300 = 225272232789
BaseRepresentation
bin10010101111000…
…010010110101100
3210220110010101121
4102233002112230
51120431222200
651104550324
710534451500
oct2257022654
9726403347
10314320300
11151475548
12893223a4
1350172c58
142da60300
151c8dbe1a
hex12bc25ac

314320300 has 108 divisors (see below), whose sum is σ = 828228240. Its totient is φ = 103044480.

The previous prime is 314320297. The next prime is 314320319. The reversal of 314320300 is 3023413.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111306 + ... + 114094.

It is an arithmetic number, because the mean of its divisors is an integer number (7668780).

Almost surely, 2314320300 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 314320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414114120).

314320300 is an abundant number, since it is smaller than the sum of its proper divisors (513907940).

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

314320300 is a wasteful number, since it uses less digits than its factorization.

314320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 314320300 is about 17729.0806304219. The cubic root of 314320300 is about 679.9194685485.

Adding to 314320300 its reverse (3023413), we get a palindrome (317343713).

The spelling of 314320300 in words is "three hundred fourteen million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 196 230 245 322 350 460 490 575 644 700 805 980 1127 1150 1225 1610 2254 2300 2450 2789 3220 4025 4508 4900 5578 5635 8050 11156 11270 13945 16100 19523 22540 27890 28175 39046 55780 56350 64147 69725 78092 97615 112700 128294 136661 139450 195230 256588 273322 278900 320735 390460 449029 488075 546644 641470 683305 898058 976150 1282940 1366610 1603675 1796116 1952300 2245145 2733220 3143203 3207350 3416525 4490290 6286406 6414700 6833050 8980580 11225725 12572812 13666100 15716015 22451450 31432030 44902900 62864060 78580075 157160150 314320300