Search a number
-
+
318874968 = 2334796229
BaseRepresentation
bin10011000000011…
…010010101011000
3211020000112020000
4103000122111120
51123112444333
651350333000
710621251426
oct2300322530
9736015200
10318874968
11153aa6535
128a95a160
13510a9119
14304c8116
151cedb713
hex1301a558

318874968 has 80 divisors (see below), whose sum is σ = 904596000. Its totient is φ = 104929344.

The previous prime is 318874957. The next prime is 318874973. The reversal of 318874968 is 869478813.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 48078 + ... + 54306.

It is an arithmetic number, because the mean of its divisors is an integer number (11307450).

Almost surely, 2318874968 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 318874968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452298000).

318874968 is an abundant number, since it is smaller than the sum of its proper divisors (585721032).

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

318874968 is a wasteful number, since it uses less digits than its factorization.

318874968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326 (or 6313 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 318874968 is about 17857.0705324250. The cubic root of 318874968 is about 683.1878634356.

The spelling of 318874968 in words is "three hundred eighteen million, eight hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1422 1896 2133 2844 4266 5688 6229 6399 8532 12458 12798 17064 18687 24916 25596 37374 49832 51192 56061 74748 112122 149496 168183 224244 336366 448488 492091 504549 672732 984182 1009098 1345464 1476273 1968364 2018196 2952546 3936728 4036392 4428819 5905092 8857638 11810184 13286457 17715276 26572914 35430552 39859371 53145828 79718742 106291656 159437484 318874968