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314421000 = 23353311337
BaseRepresentation
bin10010101111011…
…010111100001000
3210220122020112020
4102233122330020
51120442433000
651111044440
710535351205
oct2257327410
9726566466
10314421000
11151534173
1289370720
13501a9a3a
142da88cac
151c90bba0
hex12bdaf08

314421000 has 128 divisors (see below), whose sum is σ = 987068160. Its totient is φ = 83328000.

The previous prime is 314420999. The next prime is 314421013. The reversal of 314421000 is 124413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932832 + ... + 933168.

It is an arithmetic number, because the mean of its divisors is an integer number (7711470).

Almost surely, 2314421000 is an apocalyptic number.

314421000 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 314421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493534080).

314421000 is an abundant number, since it is smaller than the sum of its proper divisors (672647160).

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

314421000 is a wasteful number, since it uses less digits than its factorization.

314421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 314421000 is about 17731.9203697738. The cubic root of 314421000 is about 679.9920702651.

Adding to 314421000 its reverse (124413), we get a palindrome (314545413).

The spelling of 314421000 in words is "three hundred fourteen million, four hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 311 337 375 500 600 622 674 750 933 1000 1011 1244 1348 1500 1555 1685 1866 2022 2488 2696 3000 3110 3370 3732 4044 4665 5055 6220 6740 7464 7775 8088 8425 9330 10110 12440 13480 15550 16850 18660 20220 23325 25275 31100 33700 37320 38875 40440 42125 46650 50550 62200 67400 77750 84250 93300 101100 104807 116625 126375 155500 168500 186600 202200 209614 233250 252750 311000 314421 337000 419228 466500 505500 524035 628842 838456 933000 1011000 1048070 1257684 1572105 2096140 2515368 2620175 3144210 4192280 5240350 6288420 7860525 10480700 12576840 13100875 15721050 20961400 26201750 31442100 39302625 52403500 62884200 78605250 104807000 157210500 314421000