Search a number
-
+
1034111034 = 2321143911897
BaseRepresentation
bin111101101000110…
…100100000111010
32200001212021122200
4331220310200322
54104213023114
6250340331030
734424540655
oct7550644072
92601767580
101034111034
11490801a20
1224a3a3a76
13136321428
149b4aa89c
1560bbd409
hex3da3483a

1034111034 has 48 divisors (see below), whose sum is σ = 2450036160. Its totient is φ = 312626880.

The previous prime is 1034111021. The next prime is 1034111041. The reversal of 1034111034 is 4301114301.

1034111034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1034110998 and 1034111016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80974 + ... + 92870.

It is an arithmetic number, because the mean of its divisors is an integer number (51042420).

Almost surely, 21034111034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034111034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225018080).

1034111034 is an abundant number, since it is smaller than the sum of its proper divisors (1415925126).

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

1034111034 is a wasteful number, since it uses less digits than its factorization.

1034111034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12355 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1034111034 is about 32157.5968318530. The cubic root of 1034111034 is about 1011.2434555914.

Adding to 1034111034 its reverse (4301114301), we get a palindrome (5335225335).

The spelling of 1034111034 in words is "one billion, thirty-four million, one hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 439 878 1317 2634 3951 4829 7902 9658 11897 14487 23794 28974 35691 43461 71382 86922 107073 130867 214146 261734 392601 785202 1177803 2355606 5222783 10445566 15668349 31336698 47005047 57450613 94010094 114901226 172351839 344703678 517055517 1034111034