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1024223024 = 241116734847
BaseRepresentation
bin111101000011000…
…110011100110000
32122101020220212002
4331003012130300
54044200114044
6245344353132
734244515646
oct7503063460
92571226762
101024223024
11486168a10
122470157a8
1313426b836
149a055196
155edb874e
hex3d0c6730

1024223024 has 40 divisors (see below), whose sum is σ = 2177860608. Its totient is φ = 462754880.

The previous prime is 1024223023. The next prime is 1024223033. The reversal of 1024223024 is 4203224201.

It is a super-3 number, since 3×10242230243 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024222987 and 1024223005.

It is not an unprimeable number, because it can be changed into a prime (1024223023) 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, 11969 + ... + 46815.

Almost surely, 21024223024 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 1024223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304).

1024223024 is an abundant number, since it is smaller than the sum of its proper divisors (1153637584).

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

1024223024 is a wasteful number, since it uses less digits than its factorization.

1024223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35033 (or 35027 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1024223024 is about 32003.4845602787. The cubic root of 1024223024 is about 1008.0100097687.

Adding to 1024223024 its reverse (4203224201), we get a palindrome (5227447225).

The spelling of 1024223024 in words is "one billion, twenty-four million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 167 176 334 668 1336 1837 2672 3674 7348 14696 29392 34847 69694 139388 278776 383317 557552 766634 1533268 3066536 5819449 6133072 11638898 23277796 46555592 64013939 93111184 128027878 256055756 512111512 1024223024