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20034300 = 223521113467
BaseRepresentation
bin100110001101…
…1001011111100
31101200211220010
41030123023330
520112044200
61553223220
7332201016
oct114331374
941624803
1020034300
1110344080
126861b10
1341c5c20
1429371b6
151b5b150
hex131b2fc

20034300 has 144 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 4473600.

The previous prime is 20034293. The next prime is 20034307. The reversal of 20034300 is 343002.

It is an interprime number because it is at equal distance from previous prime (20034293) and next prime (20034307).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42667 + ... + 43133.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 220034300 is an apocalyptic number.

20034300 is a gapful number since it is divisible by the number (20) 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 20034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

20034300 is an abundant number, since it is smaller than the sum of its proper divisors (48211332).

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

20034300 is a wasteful number, since it uses less digits than its factorization.

20034300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20034300 is about 4475.9691687946. The cubic root of 20034300 is about 271.5968472431.

Adding to 20034300 its reverse (343002), we get a palindrome (20377302).

The spelling of 20034300 in words is "twenty million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 467 550 572 650 660 715 780 825 858 934 975 1100 1300 1401 1430 1650 1716 1868 1950 2145 2335 2802 2860 3300 3575 3900 4290 4670 5137 5604 6071 7005 7150 8580 9340 10274 10725 11675 12142 14010 14300 15411 18213 20548 21450 23350 24284 25685 28020 30355 30822 35025 36426 42900 46700 51370 60710 61644 66781 70050 72852 77055 91065 102740 121420 128425 133562 140100 151775 154110 182130 200343 256850 267124 303550 308220 333905 364260 385275 400686 455325 513700 607100 667810 770550 801372 910650 1001715 1335620 1541100 1669525 1821300 2003430 3339050 4006860 5008575 6678100 10017150 20034300