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6340680 = 2334519103
BaseRepresentation
bin11000001100000001001000
3102221010210000
4120030001020
53110400210
6343523000
7104615643
oct30140110
912833700
106340680
113640935
122159460
1314100a8
14bb0a5a
15853ac0
hex60c048

6340680 has 160 divisors (see below), whose sum is σ = 22651200. Its totient is φ = 1586304.

The previous prime is 6340673. The next prime is 6340687. The reversal of 6340680 is 860436.

It is an interprime number because it is at equal distance from previous prime (6340673) and next prime (6340687).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6340687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61509 + ... + 61611.

It is an arithmetic number, because the mean of its divisors is an integer number (141570).

Almost surely, 26340680 is an apocalyptic number.

6340680 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 6340680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325600).

6340680 is an abundant number, since it is smaller than the sum of its proper divisors (16310520).

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

6340680 is a wasteful number, since it uses less digits than its factorization.

6340680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6340680 is about 2518.0706900324. The cubic root of 6340680 is about 185.0881488857.

The spelling of 6340680 in words is "six million, three hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 103 108 114 120 135 152 162 171 180 190 206 216 228 270 285 309 324 342 360 380 405 412 456 513 515 540 570 618 648 684 760 810 824 855 927 1026 1030 1080 1140 1236 1368 1539 1545 1620 1710 1854 1957 2052 2060 2280 2472 2565 2781 3078 3090 3240 3420 3708 3914 4104 4120 4635 5130 5562 5871 6156 6180 6840 7416 7695 7828 8343 9270 9785 10260 11124 11742 12312 12360 13905 15390 15656 16686 17613 18540 19570 20520 22248 23484 27810 29355 30780 33372 35226 37080 39140 41715 46968 52839 55620 58710 61560 66744 70452 78280 83430 88065 105678 111240 117420 140904 158517 166860 176130 211356 234840 264195 317034 333720 352260 422712 528390 634068 704520 792585 1056780 1268136 1585170 2113560 3170340 6340680