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3140042432 = 26232163569
BaseRepresentation
bin1011101100101001…
…0011111011000000
322002211112200102212
42323022103323000
522412322324212
61235330001252
7140545630442
oct27312237300
98084480385
103140042432
11137152139a
12737716228
133b0707c97
1421b05c492
15135a07e22
hexbb293ec0

3140042432 has 84 divisors (see below), whose sum is σ = 6565193880. Its totient is φ = 1489923072.

The previous prime is 3140042431. The next prime is 3140042453. The reversal of 3140042432 is 2342400413.

3140042432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 3140042398 and 3140042407.

It is not an unprimeable number, because it can be changed into a prime (3140042431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5518244 + ... + 5518812.

It is an arithmetic number, because the mean of its divisors is an integer number (78157070).

Almost surely, 23140042432 is an apocalyptic number.

3140042432 is a gapful number since it is divisible by the number (32) 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 3140042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282596940).

3140042432 is an abundant number, since it is smaller than the sum of its proper divisors (3425151448).

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

3140042432 is a wasteful number, since it uses less digits than its factorization.

3140042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3140042432 is about 56036.0815189642. The cubic root of 3140042432 is about 1464.3509465519.

Adding to 3140042432 its reverse (2342400413), we get a palindrome (5482442845).

The spelling of 3140042432 in words is "three billion, one hundred forty million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 163 184 326 368 529 569 652 736 1058 1138 1304 1472 2116 2276 2608 3749 4232 4552 5216 7498 8464 9104 10432 13087 14996 16928 18208 26174 29992 33856 36416 52348 59984 86227 92747 104696 119968 172454 185494 209392 239936 301001 344908 370988 418784 602002 689816 741976 837568 1204004 1379632 1483952 2133181 2408008 2759264 2967904 4266362 4816016 5518528 5935808 8532724 9632032 17065448 19264064 34130896 49063163 68261792 98126326 136523584 196252652 392505304 785010608 1570021216 3140042432