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1030431420 = 2232533716987
BaseRepresentation
bin111101011010110…
…010001010111100
32122210221100011200
4331122302022330
54102242301140
6250125415500
734351344144
oct7532621274
92583840150
101030431420
11489719417
1224910a590
13135633645
149abcd924
15606e3030
hex3d6b22bc

1030431420 has 72 divisors (see below), whose sum is σ = 3135101424. Its totient is φ = 273950208.

The previous prime is 1030431419. The next prime is 1030431461. The reversal of 1030431420 is 241340301.

It is a super-2 number, since 2×10304314202 = 2123577822646432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030431393 and 1030431402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52167 + ... + 69153.

Almost surely, 21030431420 is an apocalyptic number.

1030431420 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 1030431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567550712).

1030431420 is an abundant number, since it is smaller than the sum of its proper divisors (2104670004).

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

1030431420 is a wasteful number, since it uses less digits than its factorization.

1030431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17339 (or 17334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1030431420 is about 32100.3336431259. Note that the first 3 decimals coincide. The cubic root of 1030431420 is about 1010.0426149388.

Adding to 1030431420 its reverse (241340301), we get a palindrome (1271771721).

The spelling of 1030431420 in words is "one billion, thirty million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 10110 12132 15165 16987 20220 30330 33974 50961 60660 67948 84935 101922 152883 169870 203844 254805 305766 339740 509610 611532 764415 1019220 1528830 3057660 5724619 11449238 17173857 22898476 28623095 34347714 51521571 57246190 68695428 85869285 103043142 114492380 171738570 206086284 257607855 343477140 515215710 1030431420