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3141435400 = 235215707177
BaseRepresentation
bin1011101100111110…
…1000000000001000
322002221011110020021
42323033220000020
522413201413100
61235415510224
7140563521535
oct27317500010
98087143207
103141435400
111372292a04
12738088374
133b0aa501c
1421b301d8c
15135bd0a1a
hexbb3e8008

3141435400 has 24 divisors (see below), whose sum is σ = 7303837770. Its totient is φ = 1256574080.

The previous prime is 3141435379. The next prime is 3141435443. The reversal of 3141435400 is 45341413.

It can be written as a sum of positive squares in 3 ways, for example, as 2113976484 + 1027458916 = 45978^2 + 32054^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7853389 + ... + 7853788.

Almost surely, 23141435400 is an apocalyptic number.

It is an amenable number.

3141435400 is an abundant number, since it is smaller than the sum of its proper divisors (4162402370).

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

3141435400 is a wasteful number, since it uses less digits than its factorization.

3141435400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15707193 (or 15707184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3141435400 is about 56048.5093468149. The cubic root of 3141435400 is about 1464.5674502564.

Adding to 3141435400 its reverse (45341413), we get a palindrome (3186776813).

The spelling of 3141435400 in words is "three billion, one hundred forty-one million, four hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 15707177 31414354 62828708 78535885 125657416 157071770 314143540 392679425 628287080 785358850 1570717700 3141435400