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4002434244 = 2232136181689
BaseRepresentation
bin1110111010010000…
…0100110011000100
3101022221021201121100
43232210010303010
531144110343434
61501054020100
7201120062334
oct35644046304
911287251540
104002434244
1117742a70a6
129384a7630
134ba2946b3
1429d7c90c4
151865a6699
hexee904cc4

4002434244 has 36 divisors (see below), whose sum is σ = 10124821980. Its totient is φ = 1333148160.

The previous prime is 4002434209. The next prime is 4002434279. The reversal of 4002434244 is 4424342004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4002434209) and next prime (4002434279).

It can be written as a sum of positive squares in 2 ways, for example, as 2288474244 + 1713960000 = 47838^2 + 41400^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8152 + ... + 89840.

It is an arithmetic number, because the mean of its divisors is an integer number (281245055).

Almost surely, 24002434244 is an apocalyptic number.

It is an amenable number.

4002434244 is an abundant number, since it is smaller than the sum of its proper divisors (6122387736).

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

4002434244 is a wasteful number, since it uses less digits than its factorization.

4002434244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83060 (or 83055 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4002434244 is about 63264.7946649635. The cubic root of 4002434244 is about 1587.7229967932.

Adding to 4002434244 its reverse (4424342004), we get a palindrome (8426776248).

The spelling of 4002434244 in words is "four billion, two million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1361 2722 4083 5444 8166 12249 16332 24498 48996 81689 163378 245067 326756 490134 735201 980268 1470402 2940804 111178729 222357458 333536187 444714916 667072374 1000608561 1334144748 2001217122 4002434244