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666077340 = 2235173791723
BaseRepresentation
bin100111101100111…
…000100010011100
31201102100020100010
4213230320202130
52331003433330
6150032203220
722335364305
oct4754704234
91642306303
10666077340
11311a8a845
12167099510
13a7cc2b06
14646677ac
153d7213b0
hex27b3889c

666077340 has 96 divisors (see below), whose sum is σ = 1981082880. Its totient is φ = 166634496.

The previous prime is 666077317. The next prime is 666077389. The reversal of 666077340 is 43770666.

666077340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6660773402 = 887318045722951200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385719 + ... + 387441.

It is an arithmetic number, because the mean of its divisors is an integer number (20636280).

Almost surely, 2666077340 is an apocalyptic number.

666077340 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 666077340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990541440).

666077340 is an abundant number, since it is smaller than the sum of its proper divisors (1315005540).

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

666077340 is a wasteful number, since it uses less digits than its factorization.

666077340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 666077340 is about 25808.4741896920. The cubic root of 666077340 is about 873.3229767174.

The spelling of 666077340 in words is "six hundred sixty-six million, seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 379 510 758 1020 1137 1516 1723 1895 2274 3446 3790 4548 5169 5685 6443 6892 7580 8615 10338 11370 12886 17230 19329 20676 22740 25772 25845 29291 32215 34460 38658 51690 58582 64430 77316 87873 96645 103380 117164 128860 146455 175746 193290 292910 351492 386580 439365 585820 653017 878730 1306034 1757460 1959051 2612068 3265085 3918102 6530170 7836204 9795255 11101289 13060340 19590510 22202578 33303867 39181020 44405156 55506445 66607734 111012890 133215468 166519335 222025780 333038670 666077340