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3024535040 = 2953173727
BaseRepresentation
bin1011010001000110…
…1011111000000000
321210210012022002022
42310101223320000
522143240110130
61220042141012
7134644060262
oct26421537000
97723168068
103024535040
1113122a8a3a
12704ab1768
133927c4c07
14209991b32
1512a7dd7e5
hexb446be00

3024535040 has 80 divisors (see below), whose sum is σ = 7276623552. Its totient is φ = 1205673984.

The previous prime is 3024535037. The next prime is 3024535043. The reversal of 3024535040 is 405354203.

It is an interprime number because it is at equal distance from previous prime (3024535037) and next prime (3024535043).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024535043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 809657 + ... + 813383.

Almost surely, 23024535040 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 3024535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638311776).

3024535040 is an abundant number, since it is smaller than the sum of its proper divisors (4252088512).

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

3024535040 is an equidigital number, since it uses as much as digits as its factorization.

3024535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 3024535040 is about 54995.7729284715. The cubic root of 3024535040 is about 1446.1706393565.

Adding to 3024535040 its reverse (405354203), we get a palindrome (3429889243).

The spelling of 3024535040 in words is "three billion, twenty-four million, five hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 317 320 512 634 640 1268 1280 1585 2536 2560 3170 3727 5072 6340 7454 10144 12680 14908 18635 20288 25360 29816 37270 40576 50720 59632 74540 81152 101440 119264 149080 162304 202880 238528 298160 405760 477056 596320 811520 954112 1181459 1192640 1908224 2362918 2385280 4725836 4770560 5907295 9451672 9541120 11814590 18903344 23629180 37806688 47258360 75613376 94516720 151226752 189033440 302453504 378066880 604907008 756133760 1512267520 3024535040