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3086640 = 243351429
BaseRepresentation
bin1011110001100100110000
312210211002000
423301210300
51242233030
6150054000
735143644
oct13614460
95724060
103086640
111819047
12104a300
13840c1b
145a4c24
1540e860
hex2f1930

3086640 has 80 divisors (see below), whose sum is σ = 10639200. Its totient is φ = 822528.

The previous prime is 3086627. The next prime is 3086641. The reversal of 3086640 is 466803.

It is a tau number, because it is divible by the number of its divisors (80).

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 (3086641) 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, 1446 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (132990).

Almost surely, 23086640 is an apocalyptic number.

3086640 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 3086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319600).

3086640 is an abundant number, since it is smaller than the sum of its proper divisors (7552560).

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

3086640 is a wasteful number, since it uses less digits than its factorization.

3086640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1439 counting only the distinct ones).

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

The square root of 3086640 is about 1756.8836045680. The cubic root of 3086640 is about 145.6002073016.

The spelling of 3086640 in words is "three million, eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1429 2160 2858 4287 5716 7145 8574 11432 12861 14290 17148 21435 22864 25722 28580 34296 38583 42870 51444 57160 64305 68592 77166 85740 102888 114320 128610 154332 171480 192915 205776 257220 308664 342960 385830 514440 617328 771660 1028880 1543320 3086640