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315384048 = 243272910789
BaseRepresentation
bin10010110011000…
…110000011110000
3210222110011120200
4102303012003300
51121214242143
651143435200
710546502010
oct2263060360
9728404520
10315384048
11152031781
1289755b00
13504561a5
142dc59c40
151ca4c1d3
hex12cc60f0

315384048 has 120 divisors (see below), whose sum is σ = 1043608800. Its totient is φ = 86994432.

The previous prime is 315384029. The next prime is 315384061. The reversal of 315384048 is 840483513.

315384048 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 (36).

It is a congruent number.

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, 23838 + ... + 34626.

It is an arithmetic number, because the mean of its divisors is an integer number (8696740).

Almost surely, 2315384048 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 315384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521804400).

315384048 is an abundant number, since it is smaller than the sum of its proper divisors (728224752).

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

315384048 is a wasteful number, since it uses less digits than its factorization.

315384048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10839 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 315384048 is about 17759.0553802842. The cubic root of 315384048 is about 680.6856175979.

The spelling of 315384048 in words is "three hundred fifteen million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 10789 14616 21578 29232 32367 43156 64734 75523 86312 97101 129468 151046 172624 194202 226569 258936 302092 312881 388404 453138 517872 604184 625762 679707 776808 906276 938643 1208368 1251524 1359414 1553616 1812552 1877286 2190167 2503048 2718828 2815929 3625104 3754572 4380334 5006096 5437656 5631858 6570501 7509144 8760668 10875312 11263716 13141002 15018288 17521336 19711503 22527432 26282004 35042672 39423006 45054864 52564008 78846012 105128016 157692024 315384048