Search a number
-
+
1030431440 = 24512880393
BaseRepresentation
bin111101011010110…
…010001011010000
32122210221100012102
4331122302023100
54102242301230
6250125415532
734351344203
oct7532621320
92583840172
101030431440
11489719435
1224910a5a8
1313563365c
149abcd93a
15606e3045
hex3d6b22d0

1030431440 has 20 divisors (see below), whose sum is σ = 2395753284. Its totient is φ = 412172544.

The previous prime is 1030431419. The next prime is 1030431461. The reversal of 1030431440 is 441340301.

It is a happy number.

1030431440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1030431419) and next prime (1030431461).

It can be written as a sum of positive squares in 2 ways, for example, as 728784016 + 301647424 = 26996^2 + 17368^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6440117 + ... + 6440276.

Almost surely, 21030431440 is an apocalyptic number.

1030431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030431440 is an abundant number, since it is smaller than the sum of its proper divisors (1365321844).

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

1030431440 is a wasteful number, since it uses less digits than its factorization.

1030431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880406 (or 12880400 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1030431440 is about 32100.3339546491. Note that the first 3 decimals coincide. The cubic root of 1030431440 is about 1010.0426214736.

Adding to 1030431440 its reverse (441340301), we get a palindrome (1471771741).

The spelling of 1030431440 in words is "one billion, thirty million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12880393 25760786 51521572 64401965 103043144 128803930 206086288 257607860 515215720 1030431440