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64343000 = 235337247
BaseRepresentation
bin1111010101110…
…0101111011000
311111001222000002
43311130233120
5112432434000
610215032132
71410622631
oct365345730
9144058002
1064343000
1133357937
121966b648
131043a9a7
14878c888
1559ae8d5
hex3d5cbd8

64343000 has 96 divisors (see below), whose sum is σ = 158034240. Its totient is φ = 24508800.

The previous prime is 64342997. The next prime is 64343017. The reversal of 64343000 is 34346.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368977 + ... + 1369023.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 264343000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79017120).

64343000 is an abundant number, since it is smaller than the sum of its proper divisors (93691240).

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

64343000 is a wasteful number, since it uses less digits than its factorization.

64343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 64343000 is about 8021.4088538112. The cubic root of 64343000 is about 400.7133105474.

Adding to 64343000 its reverse (34346), we get a palindrome (64377346).

It can be divided in two parts, 64 and 343000, that multiplied together give a cube (21952000 = 2803).

The spelling of 64343000 in words is "sixty-four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 47 50 74 94 100 125 148 185 188 200 235 250 296 370 376 470 500 740 925 940 1000 1175 1369 1480 1739 1850 1880 2350 2738 3478 3700 4625 4700 5476 5875 6845 6956 7400 8695 9250 9400 10952 11750 13690 13912 17390 18500 23500 27380 34225 34780 37000 43475 47000 54760 64343 68450 69560 86950 128686 136900 171125 173900 217375 257372 273800 321715 342250 347800 434750 514744 643430 684500 869500 1286860 1369000 1608575 1739000 2573720 3217150 6434300 8042875 12868600 16085750 32171500 64343000