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315038340 = 2232510916057
BaseRepresentation
bin10010110001110…
…001101010000100
3210221210121100200
4102301301222010
51121122211330
651132210500
710543532061
oct2261615204
9727717320
10315038340
11151915a71
1289609a30
1350364a26
142dba9c68
151c9cea60
hex12c71a84

315038340 has 72 divisors (see below), whose sum is σ = 964443480. Its totient is φ = 83234304.

The previous prime is 315038329. The next prime is 315038371. The reversal of 315038340 is 43830513.

It is a happy number.

315038340 is a `hidden beast` number, since 315 + 0 + 3 + 8 + 340 = 666.

315038340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48108096 + 266930244 = 6936^2 + 16338^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11592 + ... + 27648.

Almost surely, 2315038340 is an apocalyptic number.

315038340 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 315038340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482221740).

315038340 is an abundant number, since it is smaller than the sum of its proper divisors (649405140).

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

315038340 is a wasteful number, since it uses less digits than its factorization.

315038340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16176 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 315038340 is about 17749.3194235723. The cubic root of 315038340 is about 680.4368156492.

Adding to 315038340 its reverse (43830513), we get a palindrome (358868853).

The spelling of 315038340 in words is "three hundred fifteen million, thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 16057 19620 32114 48171 64228 80285 96342 144513 160570 192684 240855 289026 321140 481710 578052 722565 963420 1445130 1750213 2890260 3500426 5250639 7000852 8751065 10501278 15751917 17502130 21002556 26253195 31503834 35004260 52506390 63007668 78759585 105012780 157519170 315038340