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40430000 = 245413311
BaseRepresentation
bin1001101000111…
…0100110110000
32211002001112102
42122032212300
540322230000
64002315532
71000435502
oct232164660
984061472
1040430000
1120904726
1211658ba8
1384b74a0
145525d72
1538393d5
hex268e9b0

40430000 has 100 divisors (see below), whose sum is σ = 105753648. Its totient is φ = 14880000.

The previous prime is 40429993. The next prime is 40430017. The reversal of 40430000 is 3404.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129845 + ... + 130155.

Almost surely, 240430000 is an apocalyptic number.

40430000 is a gapful number since it is divisible by the number (40) 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 40430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876824).

40430000 is an abundant number, since it is smaller than the sum of its proper divisors (65323648).

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

40430000 is a wasteful number, since it uses less digits than its factorization.

40430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40430000 is about 6358.4589327918. The cubic root of 40430000 is about 343.2163068233.

Adding to 40430000 its reverse (3404), we get a palindrome (40433404).

The spelling of 40430000 in words is "forty million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 311 325 400 500 520 622 625 650 1000 1040 1244 1250 1300 1555 1625 2000 2488 2500 2600 3110 3250 4043 4976 5000 5200 6220 6500 7775 8086 8125 10000 12440 13000 15550 16172 16250 20215 24880 26000 31100 32344 32500 38875 40430 62200 64688 65000 77750 80860 101075 124400 130000 155500 161720 194375 202150 311000 323440 388750 404300 505375 622000 777500 808600 1010750 1555000 1617200 2021500 2526875 3110000 4043000 5053750 8086000 10107500 20215000 40430000