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1030800432 = 243173124133
BaseRepresentation
bin111101011100001…
…100010000110000
32122211122002100210
4331130030100300
54102341103212
6250141344120
734354442034
oct7534142060
92584562323
101030800432
11489950692
12249268040
131357325ac
149ac881c4
156076753c
hex3d70c430

1030800432 has 40 divisors (see below), whose sum is σ = 2678315184. Its totient is φ = 341611264.

The previous prime is 1030800401. The next prime is 1030800439. The reversal of 1030800432 is 2340080301.

It is a happy number.

It is a super-2 number, since 2×10308004322 = 2125099061222773248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030800399 and 1030800408.

It is not an unprimeable number, because it can be changed into a prime (1030800439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53763 + ... + 70370.

Almost surely, 21030800432 is an apocalyptic number.

1030800432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030800432 is an abundant number, since it is smaller than the sum of its proper divisors (1647514752).

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

1030800432 is a wasteful number, since it uses less digits than its factorization.

1030800432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124317 (or 124311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1030800432 is about 32106.0809193523. The cubic root of 1030800432 is about 1010.1631707097.

Adding to 1030800432 its reverse (2340080301), we get a palindrome (3370880733).

The spelling of 1030800432 in words is "one billion, thirty million, eight hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 519 692 1038 1384 2076 2768 4152 8304 124133 248266 372399 496532 744798 993064 1489596 1986128 2979192 5958384 21475009 42950018 64425027 85900036 128850054 171800072 257700108 343600144 515400216 1030800432