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64348560 = 24335313
BaseRepresentation
bin1111010101111…
…0000110010000
311111002020122000
43311132012100
5112433123220
610215114000
71410645063
oct365360620
9144066560
1064348560
1133361031
1219672900
1310440393
1487908da
1559b1390
hex3d5e190

64348560 has 160 divisors (see below), whose sum is σ = 229032960. Its totient is φ = 16606080.

The previous prime is 64348547. The next prime is 64348567. The reversal of 64348560 is 6584346.

64348560 is a `hidden beast` number, since 64 + 34 + 8 + 560 = 666.

64348560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64348567) 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 31 ways as a sum of consecutive naturals, for example, 2075745 + ... + 2075775.

It is an arithmetic number, because the mean of its divisors is an integer number (1431456).

Almost surely, 264348560 is an apocalyptic number.

64348560 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 64348560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114516480).

64348560 is an abundant number, since it is smaller than the sum of its proper divisors (164684400).

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

64348560 is an equidigital number, since it uses as much as digits as its factorization.

64348560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 64348560 is about 8021.7554188594. The cubic root of 64348560 is about 400.7248523459.

It can be divided in two parts, 643485 and 60, that added together give a triangular number (643545 = T1134).

The spelling of 64348560 in words is "sixty-four million, three hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 961 1080 1116 1240 1395 1488 1674 1860 1922 2160 2232 2480 2790 2883 3348 3720 3844 4185 4464 4805 5580 5766 6696 7440 7688 8370 8649 9610 11160 11532 13392 14415 15376 16740 17298 19220 22320 23064 25947 28830 29791 33480 34596 38440 43245 46128 51894 57660 59582 66960 69192 76880 86490 89373 103788 115320 119164 129735 138384 148955 172980 178746 207576 230640 238328 259470 268119 297910 345960 357492 415152 446865 476656 518940 536238 595820 691920 714984 804357 893730 1037880 1072476 1191640 1340595 1429968 1608714 1787460 2075760 2144952 2383280 2681190 3217428 3574920 4021785 4289904 5362380 6434856 7149840 8043570 10724760 12869712 16087140 21449520 32174280 64348560