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3143437248 = 26372338867
BaseRepresentation
bin1011101101011101…
…0000101111000000
322010001221011020210
42323113100233000
522414204442443
61235530434120
7140616530040
oct27327205700
98101834223
103143437248
11137342aa26
12738892940
133b1326253
1421b6a3720
15135e78c33
hexbb5d0bc0

3143437248 has 56 divisors (see below), whose sum is σ = 9505159552. Its totient is φ = 898124544.

The previous prime is 3143437247. The next prime is 3143437267. The reversal of 3143437248 is 8427343413.

It is a happy number.

3143437248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×31434372482 = 19762395464227627008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143437247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1168090 + ... + 1170777.

It is an arithmetic number, because the mean of its divisors is an integer number (169734992).

Almost surely, 23143437248 is an apocalyptic number.

It is an amenable number.

3143437248 is an abundant number, since it is smaller than the sum of its proper divisors (6361722304).

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

3143437248 is a wasteful number, since it uses less digits than its factorization.

3143437248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338889 (or 2338879 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 3143437248 is about 56066.3646761586. The cubic root of 3143437248 is about 1464.8784778076.

It can be divided in two parts, 3143 and 437248, that added together give a triangular number (440391 = T938).

The spelling of 3143437248 in words is "three billion, one hundred forty-three million, four hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2338867 4677734 7016601 9355468 14033202 16372069 18710936 28066404 32744138 37421872 49116207 56132808 65488276 74843744 98232414 112265616 130976552 149687488 196464828 224531232 261953104 392929656 449062464 523906208 785859312 1047812416 1571718624 3143437248