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315242340 = 223571933889
BaseRepresentation
bin10010110010100…
…011011101100100
3210222011222012020
4102302203131210
51121200223330
651140423140
710545341610
oct2262433544
9728158166
10315242340
11151a45266
12896a7ab0
135040683a
142dc20340
151ca20210
hex12ca3764

315242340 has 96 divisors (see below), whose sum is σ = 1014263040. Its totient is φ = 71663616.

The previous prime is 315242329. The next prime is 315242353. The reversal of 315242340 is 43242513.

It is a self number, because there is not a number n which added to its sum of digits gives 315242340.

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, 79116 + ... + 83004.

It is an arithmetic number, because the mean of its divisors is an integer number (10565240).

Almost surely, 2315242340 is an apocalyptic number.

315242340 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 315242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507131520).

315242340 is an abundant number, since it is smaller than the sum of its proper divisors (699020700).

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

315242340 is a wasteful number, since it uses less digits than its factorization.

315242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 315242340 is about 17755.0651927837. The cubic root of 315242340 is about 680.5836540305.

Adding to 315242340 its reverse (43242513), we get a palindrome (358484853).

The spelling of 315242340 in words is "three hundred fifteen million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 386 420 579 772 965 1158 1351 1930 2316 2702 2895 3860 3889 4053 5404 5790 6755 7778 8106 11580 11667 13510 15556 16212 19445 20265 23334 27020 27223 38890 40530 46668 54446 58335 77780 81060 81669 108892 116670 136115 163338 233340 272230 326676 408345 544460 750577 816690 1501154 1633380 2251731 3002308 3752885 4503462 5254039 7505770 9006924 10508078 11258655 15011540 15762117 21016156 22517310 26270195 31524234 45034620 52540390 63048468 78810585 105080780 157621170 315242340