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3366540 = 2232559317
BaseRepresentation
bin1100110101111010001100
320100001000200
430311322030
51330212130
6200053500
740420662
oct14657214
96301020
103366540
11199a371
121164290
1390b448
14638c32
15467760
hex335e8c

3366540 has 72 divisors (see below), whose sum is σ = 10417680. Its totient is φ = 879744.

The previous prime is 3366511. The next prime is 3366557. The reversal of 3366540 is 456633.

3366540 is a `hidden beast` number, since 3 + 3 + 6 + 654 + 0 = 666.

It is a super-2 number, since 2×33665402 = 22667183143200, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10462 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (144690).

Almost surely, 23366540 is an apocalyptic number.

3366540 is a gapful number since it is divisible by the number (30) 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 3366540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208840).

3366540 is an abundant number, since it is smaller than the sum of its proper divisors (7051140).

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

3366540 is a wasteful number, since it uses less digits than its factorization.

3366540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3366540 is about 1834.8133420051. The cubic root of 3366540 is about 149.8745617976.

The spelling of 3366540 in words is "three million, three hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 317 354 531 590 634 708 885 951 1062 1180 1268 1585 1770 1902 2124 2655 2853 3170 3540 3804 4755 5310 5706 6340 9510 10620 11412 14265 18703 19020 28530 37406 56109 57060 74812 93515 112218 168327 187030 224436 280545 336654 374060 561090 673308 841635 1122180 1683270 3366540