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3140456240 = 245173174489
BaseRepresentation
bin1011101100101111…
…1000111100110000
322002212022201002002
42323023320330300
522412424044430
61235342513132
7140552303045
oct27313707460
98085281062
103140456240
111371784289
127378957a8
133b082143c
1421b1291cc
15135a8a845
hexbb2f8f30

3140456240 has 80 divisors (see below), whose sum is σ = 7980560640. Its totient is φ = 1144135680.

The previous prime is 3140456237. The next prime is 3140456261. The reversal of 3140456240 is 426540413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4916 + ... + 79404.

It is an arithmetic number, because the mean of its divisors is an integer number (99757008).

Almost surely, 23140456240 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 3140456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990280320).

3140456240 is an abundant number, since it is smaller than the sum of its proper divisors (4840104400).

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

3140456240 is a wasteful number, since it uses less digits than its factorization.

3140456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74550 (or 74544 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 3140456240 is about 56039.7737325910. The cubic root of 3140456240 is about 1464.4152698355.

Adding to 3140456240 its reverse (426540413), we get a palindrome (3566996653).

The spelling of 3140456240 in words is "three billion, one hundred forty million, four hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 74489 148978 297956 372445 595912 744890 1191824 1266313 1489780 2309159 2532626 2979560 4618318 5065252 5959120 6331565 9236636 10130504 11545795 12663130 18473272 20261008 23091590 25326260 36946544 39255703 46183180 50652520 78511406 92366360 101305040 157022812 184732720 196278515 314045624 392557030 628091248 785114060 1570228120 3140456240