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3144321344 = 26794871277
BaseRepresentation
bin1011101101101010…
…1000100101000000
322010010121002000002
42323122220211000
522414421240334
61240001415132
7140630201423
oct27332504500
98103532002
103144321344
11137398418a
1273903a4a8
133b1575798
1421b8539ba
151360a0b7e
hexbb6a8940

3144321344 has 56 divisors (see below), whose sum is σ = 6336426240. Its totient is φ = 1547859456.

The previous prime is 3144321337. The next prime is 3144321347. The reversal of 3144321344 is 4431234413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144321347) 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, 2461634 + ... + 2462910.

Almost surely, 23144321344 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 3144321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168213120).

3144321344 is an abundant number, since it is smaller than the sum of its proper divisors (3192104896).

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

3144321344 is a wasteful number, since it uses less digits than its factorization.

3144321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1845 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 3144321344 is about 56074.2484925121. The cubic root of 3144321344 is about 1465.0157979558.

Adding to 3144321344 its reverse (4431234413), we get a palindrome (7575555757).

The spelling of 3144321344 in words is "three billion, one hundred forty-four million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 79 158 316 487 632 974 1264 1277 1948 2528 2554 3896 5056 5108 7792 10216 15584 20432 31168 38473 40864 76946 81728 100883 153892 201766 307784 403532 615568 621899 807064 1231136 1243798 1614128 2462272 2487596 3228256 4975192 6456512 9950384 19900768 39801536 49130021 98260042 196520084 393040168 786080336 1572160672 3144321344