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3141032304 = 243415872719
BaseRepresentation
bin1011101100111000…
…0101100101110000
322002220101222021210
42323032011211300
522413101013204
61235403120120
7140560222404
oct27316054560
98086358253
103141032304
111372038073
12737b13040
133b09936c7
1421b239104
15135b51389
hexbb385970

3141032304 has 80 divisors (see below), whose sum is σ = 8329466880. Its totient is φ = 1019358720.

The previous prime is 3141032303. The next prime is 3141032317. The reversal of 3141032304 is 4032301413.

3141032304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141032303) 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, 1153857 + ... + 1156575.

It is an arithmetic number, because the mean of its divisors is an integer number (104118336).

Almost surely, 23141032304 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 3141032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164733440).

3141032304 is an abundant number, since it is smaller than the sum of its proper divisors (5188434576).

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

3141032304 is a wasteful number, since it uses less digits than its factorization.

3141032304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3141032304 is about 56044.9132749797. The cubic root of 3141032304 is about 1464.5048051639.

Adding to 3141032304 its reverse (4032301413), we get a palindrome (7173333717).

The spelling of 3141032304 in words is "three billion, one hundred forty-one million, thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 587 656 984 1174 1761 1968 2348 2719 3522 4696 5438 7044 8157 9392 10876 14088 16314 21752 24067 28176 32628 43504 48134 65256 72201 96268 111479 130512 144402 192536 222958 288804 334437 385072 445916 577608 668874 891832 1155216 1337748 1596053 1783664 2675496 3192106 4788159 5350992 6384212 9576318 12768424 19152636 25536848 38305272 65438173 76610544 130876346 196314519 261752692 392629038 523505384 785258076 1047010768 1570516152 3141032304