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30340210400 = 255253715571
BaseRepresentation
bin11100010000011010…
…101101111011100000
32220022110110101022022
4130100122231323200
5444114043213100
621534344001012
72122600350623
oct342032557340
986273411268
1030340210400
111195a292155
125a68a60168
132b26a01426
14167b6c7dba
15bc892be85
hex7106adee0

30340210400 has 72 divisors (see below), whose sum is σ = 75465654264. Its totient is φ = 11907084800.

The previous prime is 30340210357. The next prime is 30340210441. The reversal of 30340210400 is 401204303.

30340210400 = T19456 + T19457 + ... + T19614.

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 11 ways as a sum of consecutive naturals, for example, 315386 + ... + 400185.

It is an arithmetic number, because the mean of its divisors is an integer number (1048134087).

Almost surely, 230340210400 is an apocalyptic number.

It is an amenable number.

30340210400 is an abundant number, since it is smaller than the sum of its proper divisors (45125443864).

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

30340210400 is a wasteful number, since it uses less digits than its factorization.

30340210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715644 (or 715631 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 30340210400 its reverse (401204303), we get a palindrome (30741414703).

The spelling of 30340210400 in words is "thirty billion, three hundred forty million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 160 200 212 265 400 424 530 800 848 1060 1325 1696 2120 2650 4240 5300 8480 10600 21200 42400 715571 1431142 2862284 3577855 5724568 7155710 11449136 14311420 17889275 22898272 28622840 35778550 37925263 57245680 71557100 75850526 114491360 143114200 151701052 189626315 286228400 303402104 379252630 572456800 606804208 758505260 948131575 1213608416 1517010520 1896263150 3034021040 3792526300 6068042080 7585052600 15170105200 30340210400