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20384244 = 22331731091
BaseRepresentation
bin100110111000…
…0100111110100
31102100121221000
41031300213310
520204243434
62004523300
7335156166
oct115604764
942317830
1020384244
1110562a91
1269b0530
1342b92aa
1429c8936
151bc9b99
hex13709f4

20384244 has 48 divisors (see below), whose sum is σ = 53202240. Its totient is φ = 6749280.

The previous prime is 20384239. The next prime is 20384251. The reversal of 20384244 is 44248302.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18139 + ... + 19229.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 220384244 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 20384244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26601120).

20384244 is an abundant number, since it is smaller than the sum of its proper divisors (32817996).

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

20384244 is a wasteful number, since it uses less digits than its factorization.

20384244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 20384244 is about 4514.8913608192. The cubic root of 20384244 is about 273.1690777290.

The spelling of 20384244 in words is "twenty million, three hundred eighty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1091 1557 2076 2182 3114 3273 4364 4671 6228 6546 9342 9819 13092 18684 19638 29457 39276 58914 117828 188743 377486 566229 754972 1132458 1698687 2264916 3397374 5096061 6794748 10192122 20384244