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20083344 = 24371283
BaseRepresentation
bin100110010011…
…1001010010000
31101210100011120
41030213022100
520120131334
61554242240
7332464011
oct114471220
941710146
1020083344
1110377a06
126886380
134212348
14294b008
151b6a949
hex1327290

20083344 has 60 divisors (see below), whose sum is σ = 53257008. Its totient is φ = 6520640.

The previous prime is 20083339. The next prime is 20083363. The reversal of 20083344 is 44338002.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241927 + ... + 242009.

Almost surely, 220083344 is an apocalyptic number.

20083344 is a gapful number since it is divisible by the number (24) 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 20083344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26628504).

20083344 is an abundant number, since it is smaller than the sum of its proper divisors (33173664).

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

20083344 is an equidigital number, since it uses as much as digits as its factorization.

20083344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20083344 is about 4481.4444100089. Note that the first 4 decimals coincide. The cubic root of 20083344 is about 271.8182898232.

The spelling of 20083344 in words is "twenty million, eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 83 142 166 213 249 284 332 426 498 568 664 852 996 1136 1328 1704 1992 3408 3984 5041 5893 10082 11786 15123 17679 20164 23572 30246 35358 40328 47144 60492 70716 80656 94288 120984 141432 241968 282864 418403 836806 1255209 1673612 2510418 3347224 5020836 6694448 10041672 20083344