Search a number
-
+
1034154304 = 26113151947
BaseRepresentation
bin111101101000111…
…111000101000000
32200001221111000021
4331220333011000
54104220414204
6250341303224
734425111061
oct7550770500
92601844007
101034154304
11490831487
1224a404b14
13136338031
149b4bc568
1560bcb154
hex3da3f140

1034154304 has 56 divisors (see below), whose sum is σ = 2086221888. Its totient is φ = 508569600.

The previous prime is 1034154283. The next prime is 1034154307. The reversal of 1034154304 is 4034514301.

1034154304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034154307) 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, 1091559 + ... + 1092505.

Almost surely, 21034154304 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 1034154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043110944).

1034154304 is an abundant number, since it is smaller than the sum of its proper divisors (1052067584).

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

1034154304 is a wasteful number, since it uses less digits than its factorization.

1034154304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1034154304 is about 32158.2696051886. The cubic root of 1034154304 is about 1011.2575597810.

Adding to 1034154304 its reverse (4034514301), we get a palindrome (5068668605).

The spelling of 1034154304 in words is "one billion, thirty-four million, one hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 113 151 226 302 452 604 904 947 1208 1808 1894 2416 3616 3788 4832 7232 7576 9664 15152 17063 30304 34126 60608 68252 107011 136504 142997 214022 273008 285994 428044 546016 571988 856088 1092032 1143976 1712176 2287952 3424352 4575904 6848704 9151808 16158661 32317322 64634644 129269288 258538576 517077152 1034154304