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20311344 = 243347017
BaseRepresentation
bin100110101111…
…0110100110000
31102012220221000
41031132310300
520144430334
62003202000
7334433514
oct115366460
942186830
1020311344
1110513239
126976300
134292061
1429aa144
151bb3299
hex135ed30

20311344 has 40 divisors (see below), whose sum is σ = 58302320. Its totient is φ = 6770304.

The previous prime is 20311337. The next prime is 20311363. The reversal of 20311344 is 44311302.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 7 ways as a sum of consecutive naturals, for example, 23077 + ... + 23940.

It is an arithmetic number, because the mean of its divisors is an integer number (1457558).

Almost surely, 220311344 is an apocalyptic number.

20311344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20311344 is an abundant number, since it is smaller than the sum of its proper divisors (37990976).

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

20311344 is a wasteful number, since it uses less digits than its factorization.

20311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47034 (or 47022 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20311344 is about 4506.8108458199. The cubic root of 20311344 is about 272.8430446664.

Adding to 20311344 its reverse (44311302), we get a palindrome (64622646).

It can be divided in two parts, 2031 and 1344, that added together give a cube (3375 = 153).

The spelling of 20311344 in words is "twenty million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 47017 94034 141051 188068 282102 376136 423153 564204 752272 846306 1128408 1269459 1692612 2256816 2538918 3385224 5077836 6770448 10155672 20311344