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3032441040 = 2435191096101
BaseRepresentation
bin1011010010111111…
…0110000011010000
321211100001222002010
42310233312003100
522202301103130
61220523422520
7135101215656
oct26457660320
97740058063
103032441040
111316808922
12707684a40
13394332615
1420aa4cdd6
1512b3510b0
hexb4bf60d0

3032441040 has 160 divisors (see below), whose sum is σ = 9987753600. Its totient is φ = 758937600.

The previous prime is 3032441033. The next prime is 3032441051. The reversal of 3032441040 is 401442303.

3032441040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30324410402 = 18391397322152563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3032440998 and 3032441016.

It is a congruent number.

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, 493990 + ... + 500090.

It is an arithmetic number, because the mean of its divisors is an integer number (62423460).

Almost surely, 23032441040 is an apocalyptic number.

3032441040 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 3032441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993876800).

3032441040 is an abundant number, since it is smaller than the sum of its proper divisors (6955312560).

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

3032441040 is a wasteful number, since it uses less digits than its factorization.

3032441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3032441040 is about 55067.6042696611. The cubic root of 3032441040 is about 1447.4296182530.

Adding to 3032441040 its reverse (401442303), we get a palindrome (3433883343).

The spelling of 3032441040 in words is "three billion, thirty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 109 114 120 152 190 218 228 240 285 304 327 380 436 456 545 570 654 760 872 912 1090 1140 1308 1520 1635 1744 2071 2180 2280 2616 3270 4142 4360 4560 5232 6101 6213 6540 8284 8720 10355 12202 12426 13080 16568 18303 20710 24404 24852 26160 30505 31065 33136 36606 41420 48808 49704 61010 62130 73212 82840 91515 97616 99408 115919 122020 124260 146424 165680 183030 231838 244040 248520 292848 347757 366060 463676 488080 497040 579595 665009 695514 732120 927352 1159190 1330018 1391028 1464240 1738785 1854704 1995027 2318380 2660036 2782056 3325045 3477570 3990054 4636760 5320072 5564112 6650090 6955140 7980108 9273520 9975135 10640144 12635171 13300180 13910280 15960216 19950270 25270342 26600360 27820560 31920432 37905513 39900540 50540684 53200720 63175855 75811026 79801080 101081368 126351710 151622052 159602160 189527565 202162736 252703420 303244104 379055130 505406840 606488208 758110260 1010813680 1516220520 3032441040