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64348740 = 223251721237
BaseRepresentation
bin1111010101111…
…0001001000100
311111002020212200
43311132021010
5112433124430
610215114500
71410645441
oct365361104
9144066780
1064348740
1133361185
1219672a30
13104404a1
1487909c8
1559b1460
hex3d5e244

64348740 has 108 divisors (see below), whose sum is σ = 207516036. Its totient is φ = 16137216.

The previous prime is 64348729. The next prime is 64348747. The reversal of 64348740 is 4784346.

64348740 is a `hidden beast` number, since 643 + 4 + 8 + 7 + 4 + 0 = 666.

64348740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7918596 + 56430144 = 2814^2 + 7512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64348695 and 64348704.

It is not an unprimeable number, because it can be changed into a prime (64348747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51402 + ... + 52638.

Almost surely, 264348740 is an apocalyptic number.

64348740 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 64348740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103758018).

64348740 is an abundant number, since it is smaller than the sum of its proper divisors (143167296).

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

64348740 is a wasteful number, since it uses less digits than its factorization.

64348740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 64348740 is about 8021.7666383410. The cubic root of 64348740 is about 400.7252259902.

The spelling of 64348740 in words is "sixty-four million, three hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1237 1445 1530 1734 2474 2601 2890 3060 3468 3711 4335 4948 5202 5780 6185 7422 8670 10404 11133 12370 13005 14844 17340 18555 21029 22266 24740 26010 37110 42058 44532 52020 55665 63087 74220 84116 105145 111330 126174 189261 210290 222660 252348 315435 357493 378522 420580 630870 714986 757044 946305 1072479 1261740 1429972 1787465 1892610 2144958 3217437 3574930 3785220 4289916 5362395 6434874 7149860 10724790 12869748 16087185 21449580 32174370 64348740