Search a number
-
+
1034857692 = 2232112997929
BaseRepresentation
bin111101101011101…
…010110011011100
32200010021012212200
4331223222303130
54104410421232
6250404331500
734434100551
oct7553526334
92603235780
101034857692
114911719a0
1224a6a3b90
1313652323b
149b622a28
1560cb977c
hex3daeacdc

1034857692 has 144 divisors (see below), whose sum is σ = 2985746400. Its totient is φ = 299335680.

The previous prime is 1034857661. The next prime is 1034857727. The reversal of 1034857692 is 2967584301.

1034857692 is a `hidden beast` number, since 10 + 3 + 485 + 76 + 92 = 666.

1034857692 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1034857692 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113484 + ... + 1114412.

It is an arithmetic number, because the mean of its divisors is an integer number (20734350).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1034857692 = 2069715384, but 3⋅1034857692 = 3104573076 is not.

Almost surely, 21034857692 is an apocalyptic number.

1034857692 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 1034857692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492873200).

1034857692 is an abundant number, since it is smaller than the sum of its proper divisors (1950888708).

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

1034857692 is a wasteful number, since it uses less digits than its factorization.

1034857692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1034857692 is about 32169.2040933561. The cubic root of 1034857692 is about 1011.4867793548.

The spelling of 1034857692 in words is "one billion, thirty-four million, eight hundred fifty-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 97 99 116 132 174 194 198 261 291 319 348 388 396 522 582 638 873 929 957 1044 1067 1164 1276 1746 1858 1914 2134 2787 2813 2871 3201 3492 3716 3828 4268 5574 5626 5742 6402 8361 8439 9603 10219 11148 11252 11484 12804 16722 16878 19206 20438 25317 26941 30657 30943 33444 33756 38412 40876 50634 53882 61314 61886 80823 90113 91971 92829 101268 107764 122628 123772 161646 180226 183942 185658 242469 270339 278487 296351 323292 360452 367884 371316 484938 540678 556974 592702 811017 889053 969876 991243 1081356 1113948 1185404 1622034 1778106 1982486 2613277 2667159 2973729 3244068 3556212 3964972 5226554 5334318 5947458 7839831 8921187 10453108 10668636 11894916 15679662 17842374 23519493 28746047 31359324 35684748 47038986 57492094 86238141 94077972 114984188 172476282 258714423 344952564 517428846 1034857692