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1030434040 = 2352310211097
BaseRepresentation
bin111101011010110…
…010110011111000
32122210221110202201
4331122302303320
54102242342130
6250125435544
734351354606
oct7532626370
92583843681
101030434040
11489720389
1224910bbb4
131356348ac
149abd0876
15606e3bca
hex3d6b2cf8

1030434040 has 64 divisors (see below), whose sum is σ = 2423856960. Its totient is φ = 393507840.

The previous prime is 1030434037. The next prime is 1030434043. The reversal of 1030434040 is 404340301.

It is an interprime number because it is at equal distance from previous prime (1030434037) and next prime (1030434043).

It is a junction number, because it is equal to n+sod(n) for n = 1030433999 and 1030434017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030434043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938772 + ... + 939868.

It is an arithmetic number, because the mean of its divisors is an integer number (37872765).

Almost surely, 21030434040 is an apocalyptic number.

1030434040 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 1030434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211928480).

1030434040 is an abundant number, since it is smaller than the sum of its proper divisors (1393422920).

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

1030434040 is a wasteful number, since it uses less digits than its factorization.

1030434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1030434040 is about 32100.3744526446. The cubic root of 1030434040 is about 1010.0434709911.

Adding to 1030434040 its reverse (404340301), we get a palindrome (1434774341).

It can be divided in two parts, 10304 and 34040, that added together give a palindrome (44344).

The spelling of 1030434040 in words is "one billion, thirty million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1021 1097 2042 2194 4084 4388 5105 5485 8168 8776 10210 10970 20420 21940 23483 25231 40840 43880 46966 50462 93932 100924 117415 126155 187864 201848 234830 252310 469660 504620 939320 1009240 1120037 2240074 4480148 5600185 8960296 11200370 22400740 25760851 44801480 51521702 103043404 128804255 206086808 257608510 515217020 1030434040