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314533040 = 24514926387
BaseRepresentation
bin10010101111110…
…110010010110000
3210220211221012212
4102233312102300
51121010024130
651113311252
710536325643
oct2257662260
9726757185
10314533040
11151600368
1289405528
1350218a33
142dab7a5a
151c92ee95
hex12bf64b0

314533040 has 40 divisors (see below), whose sum is σ = 736225200. Its totient is φ = 124964096.

The previous prime is 314533001. The next prime is 314533061. The reversal of 314533040 is 40335413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 314532997 and 314533015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274 + ... + 25113.

It is an arithmetic number, because the mean of its divisors is an integer number (18405630).

Almost surely, 2314533040 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 314533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368112600).

314533040 is an abundant number, since it is smaller than the sum of its proper divisors (421692160).

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

314533040 is a wasteful number, since it uses less digits than its factorization.

314533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26549 (or 26543 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 314533040 is about 17735.0793626643. The cubic root of 314533040 is about 680.0728295697.

Adding to 314533040 its reverse (40335413), we get a palindrome (354868453).

The spelling of 314533040 in words is "three hundred fourteen million, five hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 26387 52774 105548 131935 211096 263870 422192 527740 1055480 2110960 3931663 7863326 15726652 19658315 31453304 39316630 62906608 78633260 157266520 314533040