Search a number
-
+
1042236312 = 2331383167241
BaseRepresentation
bin111110000111110…
…100001110011000
32200122011002102220
4332013310032120
54113303030222
6251230424040
734553601555
oct7607641630
92618132386
101042236312
11495351627
12251062020
13137c078a0
149c5c3a2c
1561775b5c
hex3e1f4398

1042236312 has 128 divisors (see below), whose sum is σ = 2868687360. Its totient is φ = 313620480.

The previous prime is 1042236287. The next prime is 1042236331. The reversal of 1042236312 is 2136322401.

It is a super-2 number, since 2×10422363122 = 2172513060102722688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4324512 + ... + 4324752.

It is an arithmetic number, because the mean of its divisors is an integer number (22411620).

Almost surely, 21042236312 is an apocalyptic number.

1042236312 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 1042236312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434343680).

1042236312 is an abundant number, since it is smaller than the sum of its proper divisors (1826451048).

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

1042236312 is a wasteful number, since it uses less digits than its factorization.

1042236312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1042236312 is about 32283.6849197857. The cubic root of 1042236312 is about 1013.8850828146.

Adding to 1042236312 its reverse (2136322401), we get a palindrome (3178558713).

The spelling of 1042236312 in words is "one billion, forty-two million, two hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 167 241 249 312 332 334 482 498 501 664 668 723 964 996 1002 1079 1336 1446 1928 1992 2004 2158 2171 2892 3133 3237 4008 4316 4342 5784 6266 6474 6513 8632 8684 9399 12532 12948 13026 13861 17368 18798 20003 25064 25896 26052 27722 37596 40006 40247 41583 52104 55444 60009 75192 80012 80494 83166 110888 120018 120741 160024 160988 166332 180193 240036 241482 260039 321976 332664 360386 480072 482964 520078 523211 540579 720772 780117 965928 1040156 1046422 1081158 1441544 1560234 1569633 2080312 2092844 2162316 3120468 3139266 3340501 4185688 4324632 6240936 6278532 6681002 10021503 12557064 13362004 20043006 26724008 40086012 43426513 80172024 86853026 130279539 173706052 260559078 347412104 521118156 1042236312