Search a number
-
+
3140538048 = 26333375393
BaseRepresentation
bin1011101100110000…
…1100111011000000
322002212110212022000
42323030030323000
522412434204143
61235344344000
7140553063414
oct27314147300
98085425260
103140538048
11137182a79a
12737915000
133b084c74b
1421b14ad44
15135aa4bd3
hexbb30cec0

3140538048 has 112 divisors (see below), whose sum is σ = 9261713760. Its totient is φ = 1043546112.

The previous prime is 3140538043. The next prime is 3140538053. The reversal of 3140538048 is 8408350413.

It is an interprime number because it is at equal distance from previous prime (3140538043) and next prime (3140538053).

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

It is not an unprimeable number, because it can be changed into a prime (3140538043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579640 + ... + 585032.

Almost surely, 23140538048 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 3140538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630856880).

3140538048 is an abundant number, since it is smaller than the sum of its proper divisors (6121175712).

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

3140538048 is a wasteful number, since it uses less digits than its factorization.

3140538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3140538048 is about 56040.5036379938. The cubic root of 3140538048 is about 1464.4279855935.

The spelling of 3140538048 in words is "three billion, one hundred forty million, five hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 337 432 576 674 864 1011 1348 1728 2022 2696 3033 4044 5392 5393 6066 8088 9099 10784 10786 12132 16176 16179 18198 21568 21572 24264 32352 32358 36396 43144 48528 48537 64704 64716 72792 86288 97056 97074 129432 145584 145611 172576 194112 194148 258864 291168 291222 345152 388296 517728 582336 582444 776592 1035456 1164888 1553184 1817441 2329776 3106368 3634882 4659552 5452323 7269764 9319104 10904646 14539528 16356969 21809292 29079056 32713938 43618584 49070907 58158112 65427876 87237168 98141814 116316224 130855752 174474336 196283628 261711504 348948672 392567256 523423008 785134512 1046846016 1570269024 3140538048