Search a number
-
+
1042130034 = 232111092443
BaseRepresentation
bin111110000111011…
…010010001110010
32200121221200122200
4332013122101302
54113241130114
6251224244030
734552646661
oct7607322162
92617850580
101042130034
114952897a0
12251010616
13137b9b3ba
149c596dd8
1561754409
hex3e1da472

1042130034 has 72 divisors (see below), whose sum is σ = 2491633872. Its totient is φ = 312193440.

The previous prime is 1042130003. The next prime is 1042130041. The reversal of 1042130034 is 4300312401.

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 = 1042129989 and 1042130016.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2352217 + ... + 2352659.

It is an arithmetic number, because the mean of its divisors is an integer number (34606026).

Almost surely, 21042130034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042130034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245816936).

1042130034 is an abundant number, since it is smaller than the sum of its proper divisors (1449503838).

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

1042130034 is a wasteful number, since it uses less digits than its factorization.

1042130034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 568 counting only the distinct ones).

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

The square root of 1042130034 is about 32282.0388761305. The cubic root of 1042130034 is about 1013.8506193120.

Adding to 1042130034 its reverse (4300312401), we get a palindrome (5342442435).

The spelling of 1042130034 in words is "one billion, forty-two million, one hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 443 654 886 981 1199 1329 1962 2398 2658 3597 3987 4873 7194 7974 9746 10791 11881 14619 21582 23762 29238 35643 43857 48287 71286 87714 96574 106929 130691 144861 213858 261382 289722 392073 434583 531157 784146 869166 1062314 1176219 1593471 2352438 3186942 4780413 5263283 9560826 10526566 15789849 31579698 47369547 57896113 94739094 115792226 173688339 347376678 521065017 1042130034