Search a number
-
+
1004434840 = 235231091777
BaseRepresentation
bin111011110111100…
…111010110011000
32121000000120120101
4323313213112120
54024113403330
6243400305144
733614361313
oct7367472630
92530016511
101004434840
11475a82842
122404721b4
13130130956
149758397a
155d2aa4ca
hex3bde7598

1004434840 has 32 divisors (see below), whose sum is σ = 2358240480. Its totient is φ = 384305152.

The previous prime is 1004434831. The next prime is 1004434843. The reversal of 1004434840 is 484344001.

It is a junction number, because it is equal to n+sod(n) for n = 1004434799 and 1004434808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004434843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 544969 + ... + 546808.

It is an arithmetic number, because the mean of its divisors is an integer number (73695015).

Almost surely, 21004434840 is an apocalyptic number.

1004434840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004434840 is an abundant number, since it is smaller than the sum of its proper divisors (1353805640).

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

1004434840 is a wasteful number, since it uses less digits than its factorization.

1004434840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091811 (or 1091807 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 1004434840 is about 31692.8200070615. The cubic root of 1004434840 is about 1001.4761000565.

Adding to 1004434840 its reverse (484344001), we get a palindrome (1488778841).

The spelling of 1004434840 in words is "one billion, four million, four hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1091777 2183554 4367108 5458885 8734216 10917770 21835540 25110871 43671080 50221742 100443484 125554355 200886968 251108710 502217420 1004434840