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20349312 = 273197269
BaseRepresentation
bin100110110100…
…0000110000000
31102021212000020
41031220012000
520202134222
62004053440
7334652304
oct115500600
942255006
1020349312
1110539815
126994280
1342a6419
1429b9d04
151bbe65c
hex1368180

20349312 has 64 divisors (see below), whose sum is σ = 54529200. Its totient is φ = 6723584.

The previous prime is 20349293. The next prime is 20349347. The reversal of 20349312 is 21394302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75514 + ... + 75782.

Almost surely, 220349312 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 20349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27264600).

20349312 is an abundant number, since it is smaller than the sum of its proper divisors (34179888).

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

20349312 is a wasteful number, since it uses less digits than its factorization.

20349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20349312 is about 4511.0211704225. The cubic root of 20349312 is about 273.0129473659.

The spelling of 20349312 in words is "twenty million, three hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 269 384 394 538 591 788 807 1076 1182 1576 1614 2152 2364 3152 3228 4304 4728 6304 6456 8608 9456 12608 12912 17216 18912 25216 25824 34432 37824 51648 52993 75648 103296 105986 158979 211972 317958 423944 635916 847888 1271832 1695776 2543664 3391552 5087328 6783104 10174656 20349312