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1034534124 = 22321311171979
BaseRepresentation
bin111101101010011…
…011110011101100
32200002122210000200
4331222123303230
54104320042444
6250353353500
734431252321
oct7552336354
92602583020
101034534124
11490a70888
1224a568890
1313643bb90
149b57ab48
1560c53969
hex3da9bcec

1034534124 has 72 divisors (see below), whose sum is σ = 2820177360. Its totient is φ = 317872512.

The previous prime is 1034534107. The next prime is 1034534129. The reversal of 1034534124 is 4214354301.

It is a happy number.

1034534124 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 534 + 124 = 666.

It is not an unprimeable number, because it can be changed into a prime (1034534129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521767 + ... + 523745.

It is an arithmetic number, because the mean of its divisors is an integer number (39169130).

Almost surely, 21034534124 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 1034534124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410088680).

1034534124 is an abundant number, since it is smaller than the sum of its proper divisors (1785643236).

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

1034534124 is a wasteful number, since it uses less digits than its factorization.

1034534124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1034534124 is about 32164.1745424937. The cubic root of 1034534124 is about 1011.3813481529.

Adding to 1034534124 its reverse (4214354301), we get a palindrome (5248888425).

The spelling of 1034534124 in words is "one billion, thirty-four million, five hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1117 1979 2234 3351 3958 4468 5937 6702 7916 10053 11874 13404 14521 17811 20106 23748 25727 29042 35622 40212 43563 51454 58084 71244 77181 87126 102908 130689 154362 174252 231543 261378 308724 463086 522756 926172 2210543 4421086 6631629 8842172 13263258 19894887 26526516 28737059 39789774 57474118 79579548 86211177 114948236 172422354 258633531 344844708 517267062 1034534124