Search a number
-
+
1034103042 = 232728129207
BaseRepresentation
bin111101101000110…
…010100100000010
32200001211212200200
4331220302210002
54104212244132
6250340230030
734424505450
oct7550624402
92601755620
101034103042
114907a6a15
1224a39b316
1313631a8bb
149b4a79d0
1560bbad7c
hex3da32902

1034103042 has 48 divisors (see below), whose sum is σ = 2569836672. Its totient is φ = 294396480.

The previous prime is 1034103019. The next prime is 1034103043. The reversal of 1034103042 is 2403014301.

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

It is not an unprimeable number, because it can be changed into a prime (1034103043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20803 + ... + 50009.

It is an arithmetic number, because the mean of its divisors is an integer number (53538264).

Almost surely, 21034103042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034103042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284918336).

1034103042 is an abundant number, since it is smaller than the sum of its proper divisors (1535733630).

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

1034103042 is a wasteful number, since it uses less digits than its factorization.

1034103042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503 (or 29500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034103042 is about 32157.4725685959. The cubic root of 1034103042 is about 1011.2408504945.

Adding to 1034103042 its reverse (2403014301), we get a palindrome (3437117343).

The spelling of 1034103042 in words is "one billion, thirty-four million, one hundred three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 281 562 843 1686 1967 2529 3934 5058 5901 11802 17703 29207 35406 58414 87621 175242 204449 262863 408898 525726 613347 1226694 1840041 3680082 8207167 16414334 24621501 49243002 57450169 73864503 114900338 147729006 172350507 344701014 517051521 1034103042