Search a number
-
+
318162944 = 2111129487
BaseRepresentation
bin10010111101101…
…100100000000000
3211011200100111202
4102331230200000
51122422203234
651323200332
710612224521
oct2275544000
9734610452
10318162944
1115365a590
128a6760a8
1350bb9cc8
1430380848
151cdea77e
hex12f6c800

318162944 has 96 divisors (see below), whose sum is σ = 719409600. Its totient is φ = 139345920.

The previous prime is 318162937. The next prime is 318162947. The reversal of 318162944 is 449261813.

It is a junction number, because it is equal to n+sod(n) for n = 318162898 and 318162907.

It is not an unprimeable number, because it can be changed into a prime (318162947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653069 + ... + 653555.

It is an arithmetic number, because the mean of its divisors is an integer number (7493850).

Almost surely, 2318162944 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 318162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359704800).

318162944 is an abundant number, since it is smaller than the sum of its proper divisors (401246656).

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

318162944 is a wasteful number, since it uses less digits than its factorization.

318162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 318162944 is about 17837.1226379144. The cubic root of 318162944 is about 682.6789819827.

The spelling of 318162944 in words is "three hundred eighteen million, one hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 487 512 638 704 928 974 1024 1276 1408 1856 1948 2048 2552 2816 3712 3896 5104 5357 5632 7424 7792 10208 10714 11264 14123 14848 15584 20416 21428 22528 28246 29696 31168 40832 42856 56492 59392 62336 81664 85712 112984 124672 155353 163328 171424 225968 249344 310706 326656 342848 451936 498688 621412 653312 685696 903872 997376 1242824 1371392 1807744 2485648 2742784 3615488 4971296 5485568 7230976 9942592 10971136 14461952 19885184 28923904 39770368 79540736 159081472 318162944