[go: up one dir, main page]

Search a number
-
+
3040607076 = 22313127167919
BaseRepresentation
bin1011010100111011…
…1111101101100100
321211220102211202220
42311032333231210
522211343411301
61221414432340
7135230506443
oct26516775544
97756384686
103040607076
111320386111
1270a3626b0
13395c314b0
1420bb76d5a
1512be15936
hexb53bfb64

3040607076 has 96 divisors (see below), whose sum is σ = 7755202560. Its totient is φ = 921642624.

The previous prime is 3040607041. The next prime is 3040607081. The reversal of 3040607076 is 6707060403.

It is a super-3 number, since 3×30406070763 (a number of 29 digits) contains 333 as substring.

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, 3308145 + ... + 3309063.

It is an arithmetic number, because the mean of its divisors is an integer number (80783360).

Almost surely, 23040607076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040607076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877601280).

3040607076 is an abundant number, since it is smaller than the sum of its proper divisors (4714595484).

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

3040607076 is a wasteful number, since it uses less digits than its factorization.

3040607076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 3040607076 is about 55141.6999737948. The cubic root of 3040607076 is about 1448.7277109203.

Adding to 3040607076 its reverse (6707060403), we get a palindrome (9747667479).

The spelling of 3040607076 in words is "three billion, forty million, six hundred seven thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 167 254 334 381 501 508 668 762 919 1002 1524 1651 1838 2004 2171 2757 3302 3676 4342 4953 5514 6513 6604 8684 9906 11028 11947 13026 19812 21209 23894 26052 35841 42418 47788 63627 71682 84836 116713 127254 143364 153473 233426 254508 275717 306946 350139 460419 466852 551434 613892 700278 827151 920838 1102868 1400556 1517269 1654302 1841676 1995149 3034538 3308604 3990298 4551807 5985447 6069076 7980596 9103614 11970894 18207228 19491071 23941788 38982142 58473213 77964284 116946426 233892852 253383923 506767846 760151769 1013535692 1520303538 3040607076