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315334040 = 23572414673
BaseRepresentation
bin10010110010111…
…001110110011000
3210222100121222112
4102302321312120
51121211142130
651142411452
710546203140
oct2262716630
9728317875
10315334040
11151aa814a
1289730b88
13504394b8
142dc45920
151ca3c495
hex12cb9d98

315334040 has 64 divisors (see below), whose sum is σ = 814397760. Its totient is φ = 107642880.

The previous prime is 315334039. The next prime is 315334067. The reversal of 315334040 is 40433513.

It is a junction number, because it is equal to n+sod(n) for n = 315333997 and 315334015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65144 + ... + 69816.

It is an arithmetic number, because the mean of its divisors is an integer number (12724965).

Almost surely, 2315334040 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 315334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407198880).

315334040 is an abundant number, since it is smaller than the sum of its proper divisors (499063720).

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

315334040 is a wasteful number, since it uses less digits than its factorization.

315334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4928 counting only the distinct ones).

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

The square root of 315334040 is about 17757.6473666981. The cubic root of 315334040 is about 680.6496386850.

Adding to 315334040 its reverse (40433513), we get a palindrome (355767553).

The spelling of 315334040 in words is "three hundred fifteen million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2410 3374 4673 4820 6748 8435 9346 9640 13496 16870 18692 23365 32711 33740 37384 46730 65422 67480 93460 130844 163555 186920 261688 327110 654220 1126193 1308440 2252386 4504772 5630965 7883351 9009544 11261930 15766702 22523860 31533404 39416755 45047720 63066808 78833510 157667020 315334040