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64347040 = 2551741577
BaseRepresentation
bin1111010101110…
…1101110100000
311111002011112201
43311131232200
5112433101130
610215102544
71410640462
oct365355640
9144064481
1064347040
113335a97a
1219671a54
131043c794
148790132
1559b0bca
hex3d5dba0

64347040 has 96 divisors (see below), whose sum is σ = 165173904. Its totient is φ = 23592960.

The previous prime is 64347029. The next prime is 64347047. The reversal of 64347040 is 4074346.

It can be written as a sum of positive squares in 8 ways, for example, as 41422096 + 22924944 = 6436^2 + 4788^2 .

It is not an unprimeable number, because it can be changed into a prime (64347047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111232 + ... + 111808.

Almost surely, 264347040 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 64347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82586952).

64347040 is an abundant number, since it is smaller than the sum of its proper divisors (100826864).

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

64347040 is a wasteful number, since it uses less digits than its factorization.

64347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 64347040 is about 8021.6606759449. The cubic root of 64347040 is about 400.7216971001.

The spelling of 64347040 in words is "sixty-four million, three hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 577 656 680 697 820 1154 1312 1360 1394 1640 2308 2720 2788 2885 3280 3485 4616 5576 5770 6560 6970 9232 9809 11152 11540 13940 18464 19618 22304 23080 23657 27880 39236 46160 47314 49045 55760 78472 92320 94628 98090 111520 118285 156944 189256 196180 236570 313888 378512 392360 402169 473140 757024 784720 804338 946280 1569440 1608676 1892560 2010845 3217352 3785120 4021690 6434704 8043380 12869408 16086760 32173520 64347040