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20347808 = 2513411193
BaseRepresentation
bin100110110011…
…1101110100000
31102021202221112
41031213232200
520202112213
62004042452
7334645025
oct115475640
942252845
1020347808
1110538678
126993428
1342a5830
1429b954c
151bbdea8
hex1367ba0

20347808 has 48 divisors (see below), whose sum is σ = 44230536. Its totient is φ = 9154560.

The previous prime is 20347807. The next prime is 20347829. The reversal of 20347808 is 80874302.

It can be written as a sum of positive squares in 4 ways, for example, as 8596624 + 11751184 = 2932^2 + 3428^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20347807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16460 + ... + 17652.

Almost surely, 220347808 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 20347808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115268).

20347808 is an abundant number, since it is smaller than the sum of its proper divisors (23882728).

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

20347808 is a wasteful number, since it uses less digits than its factorization.

20347808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 20347808 is about 4510.8544645111. The cubic root of 20347808 is about 273.0062211502.

The spelling of 20347808 in words is "twenty million, three hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1193 1312 2132 2386 4264 4772 8528 9544 15509 17056 19088 31018 38176 48913 62036 97826 124072 195652 248144 391304 496288 635869 782608 1271738 1565216 2543476 5086952 10173904 20347808