Search a number
-
+
4311040340 = 2251923831559
BaseRepresentation
bin1000000001111010…
…10100000101010100
3102010102222112120202
410000331110011110
532312111242330
61551440320032
7211555144505
oct40075240524
912112875522
104311040340
111912519462
12a03913018
135391b6759
142cc79cbac
151a3715445
hex100f54154

4311040340 has 72 divisors (see below), whose sum is σ = 9585838080. Its totient is φ = 1628346816.

The previous prime is 4311040339. The next prime is 4311040343. The reversal of 4311040340 is 430401134.

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 (4311040343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764481 + ... + 2766039.

It is an arithmetic number, because the mean of its divisors is an integer number (133136640).

Almost surely, 24311040340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4311040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

4311040340 is an abundant number, since it is smaller than the sum of its proper divisors (5274797740).

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

4311040340 is a wasteful number, since it uses less digits than its factorization.

4311040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1968 counting only the distinct ones).

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

The square root of 4311040340 is about 65658.5130809402. The cubic root of 4311040340 is about 1627.5238527481.

Adding to 4311040340 its reverse (430401134), we get a palindrome (4741441474).

The spelling of 4311040340 in words is "four billion, three hundred eleven million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 383 722 766 1444 1532 1559 1805 1915 3118 3610 3830 6236 7220 7277 7660 7795 14554 15590 29108 29621 31180 36385 59242 72770 118484 138263 145540 148105 276526 296210 553052 562799 592420 597097 691315 1125598 1194194 1382630 2251196 2388388 2765260 2813995 2985485 5627990 5970970 11255980 11344843 11941940 22689686 45379372 56724215 113448430 215552017 226896860 431104034 862208068 1077760085 2155520170 4311040340