Search a number
-
+
1034205036 = 2231913932633
BaseRepresentation
bin111101101001001…
…011011101101100
32200002001001121020
4331221023131230
54104224030121
6250342334140
734425412014
oct7551133554
92602031536
101034205036
11490866607
1224a42a350
13136355157
149b4d2c44
1560bdb1c6
hex3da4b76c

1034205036 has 48 divisors (see below), whose sum is σ = 2558505600. Its totient is φ = 324231552.

The previous prime is 1034205031. The next prime is 1034205077. The reversal of 1034205036 is 6305024301.

It is a happy number.

It is a super-2 number, since 2×10342050362 = 2139160112975522592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034204997 and 1034205015.

It is not an unprimeable number, because it can be changed into a prime (1034205031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15376 + ... + 48008.

It is an arithmetic number, because the mean of its divisors is an integer number (53302200).

Almost surely, 21034205036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034205036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279252800).

1034205036 is an abundant number, since it is smaller than the sum of its proper divisors (1524300564).

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

1034205036 is a wasteful number, since it uses less digits than its factorization.

1034205036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32798 (or 32796 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1034205036 is about 32159.0583817375. The cubic root of 1034205036 is about 1011.2740957658.

Adding to 1034205036 its reverse (6305024301), we get a palindrome (7339229337).

The spelling of 1034205036 in words is "one billion, thirty-four million, two hundred five thousand, thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1668 2641 5282 7923 10564 15846 31692 32633 65266 97899 130532 195798 391596 620027 1240054 1860081 2480108 3720162 4535987 7440324 9071974 13607961 18143948 27215922 54431844 86183753 172367506 258551259 344735012 517102518 1034205036