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3143844900 = 22345272892
BaseRepresentation
bin1011101101100011…
…0100010000100100
322010002200212110000
42323120310100210
522414311014100
61235543301300
7140623145400
oct27330642044
98102625400
103143844900
111373689229
12738a4a830
133b1439971
1421b76c100
15136009900
hexbb634424

3143844900 has 405 divisors, whose sum is σ = 11989655139. Its totient is φ = 710519040.

The previous prime is 3143844889. The next prime is 3143844917. The reversal of 3143844900 is 94483413.

The square root of 3143844900 is 56070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 654234084 + 2489610816 = 25578^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 35324056 + ... + 35324144.

Almost surely, 23143844900 is an apocalyptic number.

3143844900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3143844900 is the 56070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143844900

3143844900 is an abundant number, since it is smaller than the sum of its proper divisors (8845810239).

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

3143844900 is a wasteful number, since it uses less digits than its factorization.

3143844900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 3143844900 is about 1464.9417986018.

Multiplying 3143844900 by its sum of digits (36), we get a square (113178416400 = 3364202).

3143844900 divided by its sum of digits (36) gives a square (87329025 = 93452).

The spelling of 3143844900 in words is "three billion, one hundred forty-three million, eight hundred forty-four thousand, nine hundred".