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316809984 = 2833711149
BaseRepresentation
bin10010111000100…
…010001100000000
3211002010121121010
4102320202030000
51122100404414
651234200520
710564561161
oct2270421400
9732117533
10316809984
11152916037
128a123140
135083523a
143010b768
151cc2e959
hex12e22300

316809984 has 72 divisors (see below), whose sum is σ = 866042800. Its totient is φ = 102739968.

The previous prime is 316809979. The next prime is 316809989. The reversal of 316809984 is 489908613.

It is an interprime number because it is at equal distance from previous prime (316809979) and next prime (316809989).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (316809989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22842 + ... + 33990.

Almost surely, 2316809984 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 316809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433021400).

316809984 is an abundant number, since it is smaller than the sum of its proper divisors (549232816).

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

316809984 is a wasteful number, since it uses less digits than its factorization.

316809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 316809984 is about 17799.1568339627. The cubic root of 316809984 is about 681.7099295903.

The spelling of 316809984 in words is "three hundred sixteen million, eight hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 11149 14208 22298 28416 33447 44596 66894 89192 133788 178384 267576 356768 412513 535152 713536 825026 1070304 1237539 1427072 1650052 2140608 2475078 2854144 3300104 4281216 4950156 6600208 8562432 9900312 13200416 19800624 26400832 39601248 52801664 79202496 105603328 158404992 316809984