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11434000230 = 2335291460281
BaseRepresentation
bin10101010011000010…
…01111111101100110
31002111212002101122000
422221201033331212
5141404101001410
65130330150130
7553226253432
oct125141177546
932455071560
1011434000230
114938216674
122271282346
131102b11913
147a67a59c2
1546dc1bdc0
hex2a984ff66

11434000230 has 64 divisors (see below), whose sum is σ = 31542091200. Its totient is φ = 2943924480.

The previous prime is 11434000187. The next prime is 11434000241. The reversal of 11434000230 is 3200043411.

11434000230 is a `hidden beast` number, since 1 + 1 + 434 + 0 + 0 + 0 + 230 = 666.

It is a super-4 number, since 4×114340002304 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 722311 + ... + 737970.

It is an arithmetic number, because the mean of its divisors is an integer number (492845175).

Almost surely, 211434000230 is an apocalyptic number.

11434000230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11434000230 is an abundant number, since it is smaller than the sum of its proper divisors (20108090970).

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

11434000230 is a wasteful number, since it uses less digits than its factorization.

11434000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460326 (or 1460320 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11434000230 its reverse (3200043411), we get a palindrome (14634043641).

The spelling of 11434000230 in words is "eleven billion, four hundred thirty-four million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 1460281 2920562 4380843 7301405 8761686 13142529 14602810 21904215 26285058 39427587 42348149 43808430 65712645 78855174 84696298 127044447 131425290 197137935 211740745 254088894 381133341 394275870 423481490 635222235 762266682 1143400023 1270444470 1905666705 2286800046 3811333410 5717000115 11434000230