Search a number
-
+
1030434140 = 225412714637
BaseRepresentation
bin111101011010110…
…010110101011100
32122210221110220102
4331122302311130
54102242343030
6250125440232
734351355111
oct7532626534
92583843812
101030434140
1148972046a
12249110078
13135634958
149abd0908
15606e3c45
hex3d6b2d5c

1030434140 has 48 divisors (see below), whose sum is σ = 2225349504. Its totient is φ = 400550400.

The previous prime is 1030434137. The next prime is 1030434149. The reversal of 1030434140 is 414340301.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030434149) 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, 219902 + ... + 224538.

It is an arithmetic number, because the mean of its divisors is an integer number (46361448).

Almost surely, 21030434140 is an apocalyptic number.

1030434140 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 1030434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112674752).

1030434140 is an abundant number, since it is smaller than the sum of its proper divisors (1194915364).

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

1030434140 is a wasteful number, since it uses less digits than its factorization.

1030434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4956 counting only the distinct ones).

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

The square root of 1030434140 is about 32100.3760102588. The cubic root of 1030434140 is about 1010.0435036648.

Adding to 1030434140 its reverse (414340301), we get a palindrome (1444774441).

It can be divided in two parts, 10304 and 34140, that added together give a palindrome (44444).

The spelling of 1030434140 in words is "one billion, thirty million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 4637 5420 9274 11111 18548 22222 23185 44444 46370 55555 92740 111110 190117 222220 380234 760468 950585 1256627 1901170 2513254 3802340 5026508 6283135 12566270 25132540 51521707 103043414 206086828 257608535 515217070 1030434140