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20234368 = 277112053
BaseRepresentation
bin100110100110…
…0000010000000
31102002000100001
41031030002000
520134444433
62001405344
7333663220
oct115140200
942060301
1020234368
1110470420
126939854
134265ccb
14298a080
151b9a57d
hex134c080

20234368 has 64 divisors (see below), whose sum is σ = 50281920. Its totient is φ = 7879680.

The previous prime is 20234329. The next prime is 20234377. The reversal of 20234368 is 86343202.

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 (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8830 + ... + 10882.

It is an arithmetic number, because the mean of its divisors is an integer number (785655).

Almost surely, 220234368 is an apocalyptic number.

20234368 is a gapful number since it is divisible by the number (28) 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 20234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25140960).

20234368 is an abundant number, since it is smaller than the sum of its proper divisors (30047552).

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

20234368 is a wasteful number, since it uses less digits than its factorization.

20234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 20234368 is about 4498.2627757836. The cubic root of 20234368 is about 272.4979345016.

It can be divided in two parts, 20234 and 368, that added together give a palindrome (20602).

The spelling of 20234368 in words is "twenty million, two hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2053 2464 4106 4928 8212 9856 14371 16424 22583 28742 32848 45166 57484 65696 90332 114968 131392 158081 180664 229936 262784 316162 361328 459872 632324 722656 919744 1264648 1445312 1839488 2529296 2890624 5058592 10117184 20234368