Search a number
-
+
3130680240 = 243351449389
BaseRepresentation
bin1011101010011010…
…0110001110110000
322002011221000221000
42322212212032300
522402423231430
61234353202000
7140403225432
oct27246461660
98064830830
103130680240
111367207446
12734560300
133ab7aa81c
14219b02652
15134ca8e60
hexba9a63b0

3130680240 has 80 divisors (see below), whose sum is σ = 10783461600. Its totient is φ = 834847488.

The previous prime is 3130680221. The next prime is 3130680251. The reversal of 3130680240 is 420860313.

It is a happy number.

3130680240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722535 + ... + 726854.

It is an arithmetic number, because the mean of its divisors is an integer number (134793270).

Almost surely, 23130680240 is an apocalyptic number.

3130680240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3130680240 is an abundant number, since it is smaller than the sum of its proper divisors (7652781360).

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

3130680240 is a wasteful number, since it uses less digits than its factorization.

3130680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449411 (or 1449399 counting only the distinct ones).

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

The square root of 3130680240 is about 55952.4819824822. The cubic root of 3130680240 is about 1462.8941528039.

The spelling of 3130680240 in words is "three billion, one hundred thirty million, six hundred eighty thousand, two 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 2160 1449389 2898778 4348167 5797556 7246945 8696334 11595112 13044501 14493890 17392668 21740835 23190224 26089002 28987780 34785336 39133503 43481670 52178004 57975560 65222505 69570672 78267006 86963340 104356008 115951120 130445010 156534012 173926680 195667515 208712016 260890020 313068024 347853360 391335030 521780040 626136048 782670060 1043560080 1565340120 3130680240