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316168384 = 2672412459
BaseRepresentation
bin10010110110000…
…101100011000000
3211000221000111011
4102312011203000
51121414342014
651212330304
710556246500
oct2266054300
9730830434
10316168384
11152517a94
1289a73994
135066c1ac
142ddc1a00
151cb547c4
hex12d858c0

316168384 has 84 divisors (see below), whose sum is σ = 747933480. Its totient is φ = 132142080.

The previous prime is 316168361. The next prime is 316168403. The reversal of 316168384 is 483861613.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 127347 + ... + 129805.

It is an arithmetic number, because the mean of its divisors is an integer number (8903970).

Almost surely, 2316168384 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 316168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373966740).

316168384 is an abundant number, since it is smaller than the sum of its proper divisors (431765096).

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

316168384 is a wasteful number, since it uses less digits than its factorization.

316168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2509 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 316168384 is about 17781.1243738972. The cubic root of 316168384 is about 681.2494214960.

It can be divided in two parts, 31616 and 8384, that added together give a square (40000 = 2002).

The spelling of 316168384 in words is "three hundred sixteen million, one hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 164 196 224 287 328 392 448 574 656 784 1148 1312 1568 2009 2296 2459 2624 3136 4018 4592 4918 8036 9184 9836 16072 17213 18368 19672 32144 34426 39344 64288 68852 78688 100819 120491 128576 137704 157376 201638 240982 275408 403276 481964 550816 705733 806552 963928 1101632 1411466 1613104 1927856 2822932 3226208 3855712 4940131 5645864 6452416 7711424 9880262 11291728 19760524 22583456 39521048 45166912 79042096 158084192 316168384