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318469968 = 2435101811
BaseRepresentation
bin10010111110110…
…111011101010000
3211012020221200000
4102332313131100
51123012014333
651333530000
710614643605
oct2276673520
9735227600
10318469968
1115384a223
128a7a3900
1350c9698b
14304206ac
151ce5b713
hex12fb7750

318469968 has 120 divisors (see below), whose sum is σ = 934586016. Its totient is φ = 104976000.

The previous prime is 318469903. The next prime is 318469969. The reversal of 318469968 is 869964813.

It can be divided in two parts, 31846 and 9968, that added together give a palindrome (41814).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318469969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392283 + ... + 393093.

Almost surely, 2318469968 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 318469968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467293008).

318469968 is an abundant number, since it is smaller than the sum of its proper divisors (616116048).

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

318469968 is a wasteful number, since it uses less digits than its factorization.

318469968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 318469968 is about 17845.7268834867. The cubic root of 318469968 is about 682.8985041401.

The spelling of 318469968 in words is "three hundred eighteen million, four hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 243 303 324 404 432 486 606 648 808 811 909 972 1212 1296 1616 1622 1818 1944 2424 2433 2727 3244 3636 3888 4848 4866 5454 6488 7272 7299 8181 9732 10908 12976 14544 14598 16362 19464 21816 21897 24543 29196 32724 38928 43632 43794 49086 58392 65448 65691 81911 87588 98172 116784 130896 131382 163822 175176 196344 197073 245733 262764 327644 350352 392688 394146 491466 525528 655288 737199 788292 982932 1051056 1310576 1474398 1576584 1965864 2211597 2948796 3153168 3931728 4423194 5897592 6634791 8846388 11795184 13269582 17692776 19904373 26539164 35385552 39808746 53078328 79617492 106156656 159234984 318469968