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1024211034 = 23373112457
BaseRepresentation
bin111101000011000…
…011100001011010
32122101020022102000
4331003003201122
54044144223114
6245344221430
734244436000
oct7503034132
92571208360
101024211034
1148615aa00
1224700a876
13134266242
149a050a70
155edb4e09
hex3d0c385a

1024211034 has 192 divisors, whose sum is σ = 2923872000. Its totient is φ = 265446720.

The previous prime is 1024210987. The next prime is 1024211047. The reversal of 1024211034 is 4301124201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1024210998 and 1024211016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2240934 + ... + 2241390.

It is an arithmetic number, because the mean of its divisors is an integer number (15228500).

Almost surely, 21024211034 is an apocalyptic number.

1024211034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024211034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461936000).

1024211034 is an abundant number, since it is smaller than the sum of its proper divisors (1899660966).

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

1024211034 is a wasteful number, since it uses less digits than its factorization.

1024211034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1024211034 is about 32003.2972363786. The cubic root of 1024211034 is about 1008.0060763523.

Adding to 1024211034 its reverse (4301124201), we get a palindrome (5325335235).

The spelling of 1024211034 in words is "one billion, twenty-four million, two hundred eleven thousand, thirty-four".