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10030000340 = 22517223132287
BaseRepresentation
bin10010101011101010…
…11010100011010100
3221220000012210212002
421111311122203110
5131020140002330
64335133414432
7503360411333
oct112565324324
927800183762
1010030000340
114287745788
121b3b03a418
13c3ac92659
146b2131d1a
153da836e45
hex255d5a8d4

10030000340 has 48 divisors (see below), whose sum is σ = 22402179072. Its totient is φ = 3759038976.

The previous prime is 10030000339. The next prime is 10030000363. The reversal of 10030000340 is 4300003001.

10030000340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9677 + ... + 141963.

It is an arithmetic number, because the mean of its divisors is an integer number (466712064).

Almost surely, 210030000340 is an apocalyptic number.

10030000340 is a gapful number since it is divisible by the number (10) 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 10030000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201089536).

10030000340 is an abundant number, since it is smaller than the sum of its proper divisors (12372178732).

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

10030000340 is a wasteful number, since it uses less digits than its factorization.

10030000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132536 (or 132534 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10030000340 its reverse (4300003001), we get a palindrome (14330003341).

The spelling of 10030000340 in words is "ten billion, thirty million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 340 446 892 1115 2230 3791 4460 7582 15164 18955 37910 75820 132287 264574 529148 661435 1322870 2248879 2645740 4497758 8995516 11244395 22488790 29500001 44977580 59000002 118000004 147500005 295000010 501500017 590000020 1003000034 2006000068 2507500085 5015000170 10030000340