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315739340 = 225721931547
BaseRepresentation
bin10010110100011…
…100110011001100
3211000010012221122
4102310130303030
51121312124330
651155220112
710552511600
oct2264346314
9730105848
10315739340
11152254704
12898a7638
135054bb17
142dd0d500
151cabc5e5
hex12d1cccc

315739340 has 144 divisors (see below), whose sum is σ = 839623680. Its totient is φ = 99066240.

The previous prime is 315739301. The next prime is 315739357. The reversal of 315739340 is 43937513.

315739340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 315739340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576947 + ... + 577493.

It is an arithmetic number, because the mean of its divisors is an integer number (5830720).

Almost surely, 2315739340 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 315739340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419811840).

315739340 is an abundant number, since it is smaller than the sum of its proper divisors (523884340).

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

315739340 is a wasteful number, since it uses less digits than its factorization.

315739340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 315739340 is about 17769.0556867831. The cubic root of 315739340 is about 680.9411276636.

The spelling of 315739340 in words is "three hundred fifteen million, seven hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 49 62 70 76 95 98 124 133 140 155 190 196 217 245 266 310 380 434 490 532 547 589 620 665 868 931 980 1085 1094 1178 1330 1519 1862 2170 2188 2356 2660 2735 2945 3038 3724 3829 4123 4340 4655 5470 5890 6076 7595 7658 8246 9310 10393 10940 11780 15190 15316 16492 16957 18620 19145 20615 20786 26803 28861 30380 33914 38290 41230 41572 51965 53606 57722 67828 72751 76580 82460 84785 103930 107212 115444 118699 134015 144305 145502 169570 207860 237398 268030 288610 291004 322183 339140 363755 474796 509257 536060 577220 593495 644366 727510 830893 1018514 1186990 1288732 1455020 1610915 1661786 2037028 2255281 2373980 2546285 3221830 3323572 4154465 4510562 5092570 6443660 8308930 9021124 10185140 11276405 15786967 16617860 22552810 31573934 45105620 63147868 78934835 157869670 315739340