Search a number
-
+
2433042340 = 2251943612441
BaseRepresentation
bin1001000100000101…
…0100011110100100
320021120012100122021
42101001110132210
514440324323330
61041232312524
7114202342621
oct22101243644
96246170567
102433042340
1110394307a3
1257a9a2744
132ca0b7631
141911c1348
15e390167a
hex910547a4

2433042340 has 96 divisors (see below), whose sum is σ = 5595891840. Its totient is φ = 885427200.

The previous prime is 2433042317. The next prime is 2433042361. The reversal of 2433042340 is 432403342.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995520 + ... + 997960.

It is an arithmetic number, because the mean of its divisors is an integer number (58290540).

Almost surely, 22433042340 is an apocalyptic number.

2433042340 is a gapful number since it is divisible by the number (20) 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 2433042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797945920).

2433042340 is an abundant number, since it is smaller than the sum of its proper divisors (3162849500).

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

2433042340 is a wasteful number, since it uses less digits than its factorization.

2433042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2433042340 is about 49325.8790088935. The cubic root of 2433042340 is about 1344.9822581648.

Adding to 2433042340 its reverse (432403342), we get a palindrome (2865445682).

The spelling of 2433042340 in words is "two billion, four hundred thirty-three million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 61 76 86 95 122 172 190 215 244 305 380 430 610 817 860 1159 1220 1634 2318 2441 2623 3268 4085 4636 4882 5246 5795 8170 9764 10492 11590 12205 13115 16340 23180 24410 26230 46379 48820 49837 52460 92758 99674 104963 148901 185516 199348 209926 231895 249185 297802 419852 463790 498370 524815 595604 744505 927580 996740 1049630 1489010 1994297 2099260 2829119 2978020 3988594 5658238 6402743 7977188 9971485 11316476 12805486 14145595 19942970 25610972 28291190 32013715 39885940 56582380 64027430 121652117 128054860 243304234 486608468 608260585 1216521170 2433042340