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1034516112 = 243728110957
BaseRepresentation
bin111101101010010…
…111011010010000
32200002121212022120
4331222113122100
54104314003422
6250353134240
734431145650
oct7552273220
92602555276
101034516112
11490a592a3
1224a55a380
13136433916
149b574360
1560c4d45c
hex3da97690

1034516112 has 80 divisors (see below), whose sum is σ = 3065434752. Its totient is φ = 294497280.

The previous prime is 1034516111. The next prime is 1034516117. The reversal of 1034516112 is 2116154301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1034516111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88938 + ... + 99894.

Almost surely, 21034516112 is an apocalyptic number.

1034516112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532717376).

1034516112 is an abundant number, since it is smaller than the sum of its proper divisors (2030918640).

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

1034516112 is a wasteful number, since it uses less digits than its factorization.

1034516112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11250 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1034516112 is about 32163.8945403071. The cubic root of 1034516112 is about 1011.3754784878.

The spelling of 1034516112 in words is "one billion, thirty-four million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 281 336 562 843 1124 1686 1967 2248 3372 3934 4496 5901 6744 7868 10957 11802 13488 15736 21914 23604 31472 32871 43828 47208 65742 76699 87656 94416 131484 153398 175312 230097 262968 306796 460194 525936 613592 920388 1227184 1840776 3078917 3681552 6157834 9236751 12315668 18473502 21552419 24631336 36947004 43104838 49262672 64657257 73894008 86209676 129314514 147788016 172419352 258629028 344838704 517258056 1034516112