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3140404208 = 241943793041
BaseRepresentation
bin1011101100101110…
…1100001111110000
322002212020001200222
42323023230033300
522412420413313
61235341432212
7140551665254
oct27313541760
98085201628
103140404208
111371749187
1273786b668
133b0803856
1421b114264
15135a7a208
hexbb2ec3f0

3140404208 has 80 divisors (see below), whose sum is σ = 6638860800. Its totient is φ = 1434101760.

The previous prime is 3140404207. The next prime is 3140404261. The reversal of 3140404208 is 8024040413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140404207) 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, 1031168 + ... + 1034208.

It is an arithmetic number, because the mean of its divisors is an integer number (82985760).

Almost surely, 23140404208 is an apocalyptic number.

3140404208 is a gapful number since it is divisible by the number (38) 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 3140404208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319430400).

3140404208 is an abundant number, since it is smaller than the sum of its proper divisors (3498456592).

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

3140404208 is a wasteful number, since it uses less digits than its factorization.

3140404208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 3140404208 is about 56039.3094889650. The cubic root of 3140404208 is about 1464.4071821703.

The spelling of 3140404208 in words is "three billion, one hundred forty million, four hundred four thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 38 43 76 79 86 152 158 172 304 316 344 632 688 817 1264 1501 1634 3002 3041 3268 3397 6004 6082 6536 6794 12008 12164 13072 13588 24016 24328 27176 48656 54352 57779 64543 115558 129086 130763 231116 240239 258172 261526 462232 480478 516344 523052 924464 960956 1032688 1046104 1921912 2092208 2484497 3843824 4564541 4968994 9129082 9937988 10330277 18258164 19875976 20660554 36516328 39751952 41321108 73032656 82642216 165284432 196275263 392550526 785101052 1570202104 3140404208