Search a number
-
+
3040535556 = 2235732587
BaseRepresentation
bin1011010100111010…
…1110010000000100
321211220022012200000
42311032232100010
522211334114211
61221413121300
7135230061102
oct26516562004
97756265600
103040535556
111320337403
1270a329230
13395c07a86
1420bb58c72
1512bdee656
hexb53ae404

3040535556 has 108 divisors (see below), whose sum is σ = 8094904272. Its totient is φ = 997925184.

The previous prime is 3040535551. The next prime is 3040535573. The reversal of 3040535556 is 6555350403.

3040535556 is a `hidden beast` number, since 30 + 40 + 5 + 35 + 556 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3040535556.

It is not an unprimeable number, because it can be changed into a prime (3040535551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5179495 + ... + 5180081.

Almost surely, 23040535556 is an apocalyptic number.

3040535556 is a gapful number since it is divisible by the number (36) 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 3040535556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047452136).

3040535556 is an abundant number, since it is smaller than the sum of its proper divisors (5054368716).

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

3040535556 is an equidigital number, since it uses as much as digits as its factorization.

3040535556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 3040535556 is about 55141.0514589629. The cubic root of 3040535556 is about 1448.7163520243.

Adding to 3040535556 its reverse (6555350403), we get a palindrome (9595885959).

The spelling of 3040535556 in words is "three billion, forty million, five hundred thirty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 587 657 876 972 1174 1314 1761 1971 2348 2628 3522 3942 5283 5329 5913 7044 7884 10566 10658 11826 15849 15987 17739 21132 21316 23652 31698 31974 35478 42851 47547 47961 63396 63948 70956 85702 95094 95922 128553 142641 143883 171404 190188 191844 257106 285282 287766 385659 431649 514212 570564 575532 771318 863298 1156977 1294947 1542636 1726596 2313954 2589894 3128123 3470931 4627908 5179788 6256246 6941862 9384369 10412793 12512492 13883724 18768738 20825586 28153107 37537476 41651172 56306214 84459321 112612428 168918642 253377963 337837284 506755926 760133889 1013511852 1520267778 3040535556