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315320340 = 223523415573
BaseRepresentation
bin10010110010110…
…110100000010100
3210222022221012010
4102302312200110
51121210222330
651142224220
710546115166
oct2262664024
9728287163
10315320340
11151a98925
1289725070
13504331aa
142dc40936
151ca383b0
hex12cb6814

315320340 has 96 divisors (see below), whose sum is σ = 943923456. Its totient is φ = 78453760.

The previous prime is 315320339. The next prime is 315320347. The reversal of 315320340 is 43023513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315320347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53794 + ... + 59366.

It is an arithmetic number, because the mean of its divisors is an integer number (9832536).

Almost surely, 2315320340 is an apocalyptic number.

315320340 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 315320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471961728).

315320340 is an abundant number, since it is smaller than the sum of its proper divisors (628603116).

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

315320340 is a wasteful number, since it uses less digits than its factorization.

315320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 315320340 is about 17757.2616132105. The cubic root of 315320340 is about 680.6397813761.

Adding to 315320340 its reverse (43023513), we get a palindrome (358343853).

The spelling of 315320340 in words is "three hundred fifteen million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 615 690 820 943 1230 1380 1886 2460 2829 3772 4715 5573 5658 9430 11146 11316 14145 16719 18860 22292 27865 28290 33438 55730 56580 66876 83595 111460 128179 167190 228493 256358 334380 384537 456986 512716 640895 685479 769074 913972 1142465 1281790 1370958 1538148 1922685 2284930 2563580 2741916 3427395 3845370 4569860 5255339 6854790 7690740 10510678 13709580 15766017 21021356 26276695 31532034 52553390 63064068 78830085 105106780 157660170 315320340