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11434500 = 2233537112
BaseRepresentation
bin101011100111…
…101000000100
3210111221012000
4223213220010
510411401000
61045025300
7166122510
oct53475004
923457160
1011434500
1164aaa00
1239b5230
1324a479c
141739140
15100d000
hexae7a04

11434500 has 288 divisors, whose sum is σ = 46475520. Its totient is φ = 2376000.

The previous prime is 11434487. The next prime is 11434529. The reversal of 11434500 is 543411.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1039495 + ... + 1039505.

Almost surely, 211434500 is an apocalyptic number.

11434500 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 11434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237760).

11434500 is an abundant number, since it is smaller than the sum of its proper divisors (35041020).

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

11434500 is a wasteful number, since it uses less digits than its factorization.

11434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11434500 is about 3381.4937527667. The cubic root of 11434500 is about 225.2885187615.

Adding to 11434500 its reverse (543411), we get a palindrome (11977911).

The spelling of 11434500 in words is "eleven million, four hundred thirty-four thousand, five hundred".