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20353344 = 2631123419
BaseRepresentation
bin100110110100…
…1000101000000
31102022001112120
41031221011000
520202301334
62004124240
7335000124
oct115510500
942261476
1020353344
1110541850
126996680
1342a81cb
1429bb584
151bc0949
hex1369140

20353344 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 5885440.

The previous prime is 20353283. The next prime is 20353373. The reversal of 20353344 is 44335302.

It is a super-2 number, since 2×203533442 = 828517223964672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48367 + ... + 48785.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 220353344 is an apocalyptic number.

20353344 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 20353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

20353344 is an abundant number, since it is smaller than the sum of its proper divisors (41094336).

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

20353344 is a wasteful number, since it uses less digits than its factorization.

20353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 20353344 is about 4511.4680537492. The cubic root of 20353344 is about 273.0309777136.

Adding to 20353344 its reverse (44335302), we get a palindrome (64688646).

The spelling of 20353344 in words is "twenty million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 419 506 528 552 704 736 759 838 1012 1056 1104 1257 1472 1518 1676 2024 2112 2208 2514 3036 3352 4048 4416 4609 5028 6072 6704 8096 9218 9637 10056 12144 13408 13827 16192 18436 19274 20112 24288 26816 27654 28911 36872 38548 40224 48576 55308 57822 73744 77096 80448 106007 110616 115644 147488 154192 212014 221232 231288 294976 308384 318021 424028 442464 462576 616768 636042 848056 884928 925152 1272084 1696112 1850304 2544168 3392224 5088336 6784448 10176672 20353344