Search a number
-
+
1024103412 = 22344177093
BaseRepresentation
bin111101000010101…
…001001111110100
32122101000211210000
4331002221033310
54044132302122
6245342031300
734243510143
oct7502511764
92571024700
101024103412
11486097062
12246b78530
13134229267
149a02375a
155ed930ac
hex3d0a93f4

1024103412 has 60 divisors (see below), whose sum is σ = 2742541956. Its totient is φ = 333037440.

The previous prime is 1024103393. The next prime is 1024103413. The reversal of 1024103412 is 2143014201.

1024103412 is a `hidden beast` number, since 10 + 241 + 0 + 3 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 900360036 = 11124^2 + 30006^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024103413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25263 + ... + 51830.

Almost surely, 21024103412 is an apocalyptic number.

1024103412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024103412 is an abundant number, since it is smaller than the sum of its proper divisors (1718438544).

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

1024103412 is a wasteful number, since it uses less digits than its factorization.

1024103412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77150 (or 77139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1024103412 is about 32001.6157717075. The cubic root of 1024103412 is about 1007.9707687101.

Adding to 1024103412 its reverse (2143014201), we get a palindrome (3167117613).

The spelling of 1024103412 in words is "one billion, twenty-four million, one hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 77093 154186 231279 308372 462558 693837 925116 1387674 2081511 2775348 3160813 4163022 6244533 6321626 8326044 9482439 12489066 12643252 18964878 24978132 28447317 37929756 56894634 85341951 113789268 170683902 256025853 341367804 512051706 1024103412