Search a number
-
+
1030323440 = 245314110133
BaseRepresentation
bin111101011010010…
…111110011110000
32122210201212001102
4331122113303300
54102230322230
6250123223532
734350414266
oct7532276360
92583655042
101030323440
11489655283
12249077ba8
131355c6453
149aba2436
15606c1045
hex3d697cf0

1030323440 has 80 divisors (see below), whose sum is σ = 2533337856. Its totient is φ = 389068800.

The previous prime is 1030323439. The next prime is 1030323449. The reversal of 1030323440 is 443230301.

It is a tau number, because it is divible by the number of its divisors (80).

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 (1030323449) 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, 96614 + ... + 106746.

Almost surely, 21030323440 is an apocalyptic number.

1030323440 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 1030323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266668928).

1030323440 is an abundant number, since it is smaller than the sum of its proper divisors (1503014416).

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

1030323440 is a wasteful number, since it uses less digits than its factorization.

1030323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1030323440 is about 32098.6516850786. The cubic root of 1030323440 is about 1010.0073325612.

Adding to 1030323440 its reverse (443230301), we get a palindrome (1473553741).

The spelling of 1030323440 in words is "one billion, thirty million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 496 620 656 820 1240 1271 1640 2480 2542 3280 5084 6355 10133 10168 12710 20266 20336 25420 40532 50665 50840 81064 101330 101680 162128 202660 314123 405320 415453 628246 810640 830906 1256492 1570615 1661812 2077265 2512984 3141230 3323624 4154530 5025968 6282460 6647248 8309060 12564920 12879043 16618120 25129840 25758086 33236240 51516172 64395215 103032344 128790430 206064688 257580860 515161720 1030323440