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64380300 = 22352673203
BaseRepresentation
bin1111010110010…
…1110110001100
311111010212011120
43311211312030
5112440132200
610215520540
71411136445
oct365456614
9144125146
1064380300
1133382966
1219689150
131045196a
14879c2cc
1559ba9a0
hex3d65d8c

64380300 has 72 divisors (see below), whose sum is σ = 189112896. Its totient is φ = 16906560.

The previous prime is 64380293. The next prime is 64380301. The reversal of 64380300 is 308346.

It is not an unprimeable number, because it can be changed into a prime (64380301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18499 + ... + 21701.

It is an arithmetic number, because the mean of its divisors is an integer number (2626568).

Almost surely, 264380300 is an apocalyptic number.

64380300 is a gapful number since it is divisible by the number (60) 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 64380300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556448).

64380300 is an abundant number, since it is smaller than the sum of its proper divisors (124732596).

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

64380300 is a wasteful number, since it uses less digits than its factorization.

64380300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 64380300 is about 8023.7335449278. The cubic root of 64380300 is about 400.7907275117.

Adding to 64380300 its reverse (308346), we get a palindrome (64688646).

The spelling of 64380300 in words is "sixty-four million, three hundred eighty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3203 3350 4020 5025 6406 6700 9609 10050 12812 16015 19218 20100 32030 38436 48045 64060 80075 96090 160150 192180 214601 240225 320300 429202 480450 643803 858404 960900 1073005 1287606 2146010 2575212 3219015 4292020 5365025 6438030 10730050 12876060 16095075 21460100 32190150 64380300