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1023046144 = 296732969
BaseRepresentation
bin111100111110100…
…111001000000000
32122022001010110221
4330332213020000
54043344434034
6245303232424
734231514551
oct7476471000
92568033427
101023046144
1148553478a
12246748714
13133c48c63
1499c2a328
155ec34bb4
hex3cfa7200

1023046144 has 40 divisors (see below), whose sum is σ = 2047820940. Its totient is φ = 510590976.

The previous prime is 1023046103. The next prime is 1023046147. The reversal of 1023046144 is 4416403201.

It can be written as a sum of positive squares in 2 ways, for example, as 835903744 + 187142400 = 28912^2 + 13680^2 .

It is not an unprimeable number, because it can be changed into a prime (1023046147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 343092 + ... + 346060.

Almost surely, 21023046144 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 1023046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023910470).

1023046144 is an abundant number, since it is smaller than the sum of its proper divisors (1024774796).

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

1023046144 is an frugal number, since it uses more digits than its factorization.

1023046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1023046144 is about 31985.0925276135. The cubic root of 1023046144 is about 1007.6237783013.

Adding to 1023046144 its reverse (4416403201), we get a palindrome (5439449345).

The spelling of 1023046144 in words is "one billion, twenty-three million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 673 1346 2692 2969 5384 5938 10768 11876 21536 23752 43072 47504 86144 95008 172288 190016 344576 380032 760064 1520128 1998137 3996274 7992548 15985096 31970192 63940384 127880768 255761536 511523072 1023046144