Search a number
-
+
20344584 = 23313197331
BaseRepresentation
bin100110110011…
…0111100001000
31102021121112010
41031212330020
520202011314
62004015520
7334632441
oct115467410
942247463
1020344584
1110536207
1269915a0
1342a4220
1429b82c8
151bbd059
hex1366f08

20344584 has 64 divisors (see below), whose sum is σ = 55218240. Its totient is φ = 6209280.

The previous prime is 20344579. The next prime is 20344601. The reversal of 20344584 is 48544302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61299 + ... + 61629.

It is an arithmetic number, because the mean of its divisors is an integer number (862785).

Almost surely, 220344584 is an apocalyptic number.

20344584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27609120).

20344584 is an abundant number, since it is smaller than the sum of its proper divisors (34873656).

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

20344584 is a wasteful number, since it uses less digits than its factorization.

20344584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 20344584 is about 4510.4970901221. The cubic root of 20344584 is about 272.9918016027.

Adding to 20344584 its reverse (48544302), we get a palindrome (68888886).

The spelling of 20344584 in words is "twenty million, three hundred forty-four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 197 312 331 394 591 662 788 993 1182 1324 1576 1986 2364 2561 2648 3972 4303 4728 5122 7683 7944 8606 10244 12909 15366 17212 20488 25818 30732 34424 51636 61464 65207 103272 130414 195621 260828 391242 521656 782484 847691 1564968 1695382 2543073 3390764 5086146 6781528 10172292 20344584