Search a number
-
+
1034202114 = 233117922039
BaseRepresentation
bin111101101001001…
…010110000000010
32200002000220121000
4331221022300002
54104223431424
6250342312430
734425400341
oct7551126002
92602026530
101034202114
114908643a0
1224a428716
13136353a1a
149b4d1b58
1560bda3c9
hex3da4ac02

1034202114 has 64 divisors (see below), whose sum is σ = 2539008000. Its totient is φ = 309413520.

The previous prime is 1034202101. The next prime is 1034202149. The reversal of 1034202114 is 4112024301.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35907 + ... + 57945.

It is an arithmetic number, because the mean of its divisors is an integer number (39672000).

Almost surely, 21034202114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034202114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269504000).

1034202114 is an abundant number, since it is smaller than the sum of its proper divisors (1504805886).

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

1034202114 is a wasteful number, since it uses less digits than its factorization.

1034202114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22134 counting only the distinct ones).

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

The square root of 1034202114 is about 32159.0129512708. The cubic root of 1034202114 is about 1011.2731433609.

Adding to 1034202114 its reverse (4112024301), we get a palindrome (5146226415).

The spelling of 1034202114 in words is "one billion, thirty-four million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 158 198 237 297 474 594 711 869 1422 1738 2133 2607 4266 5214 7821 15642 22039 23463 44078 46926 66117 132234 198351 242429 396702 484858 595053 727287 1190106 1454574 1741081 2181861 3482162 4363722 5223243 6545583 10446486 13091166 15669729 19151891 31339458 38303782 47009187 57455673 94018374 114911346 172367019 344734038 517101057 1034202114