Search a number
-
+
4349491344 = 24341117131137
BaseRepresentation
bin1000000110011111…
…11111100010010000
3102020010100001110000
410003033333202100
532401432210334
61555332410000
7212533031532
oct40317774220
912203301400
104349491344
1119321a1250
12a14776900
1354415a223
142d392b852
151a6cad299
hex1033ff890

4349491344 has 400 divisors, whose sum is σ = 14758894656. Its totient is φ = 1222041600.

The previous prime is 4349491339. The next prime is 4349491373. The reversal of 4349491344 is 4431949434.

4349491344 is a `hidden beast` number, since 43 + 494 + 91 + 34 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4349491344.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31748044 + ... + 31748180.

Almost surely, 24349491344 is an apocalyptic number.

4349491344 is a gapful number since it is divisible by the number (44) 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 4349491344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379447328).

4349491344 is an abundant number, since it is smaller than the sum of its proper divisors (10409403312).

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

4349491344 is a wasteful number, since it uses less digits than its factorization.

4349491344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 301 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4349491344 is about 65950.6735674474. The cubic root of 4349491344 is about 1632.3482712613.

The spelling of 4349491344 in words is "four billion, three hundred forty-nine million, four hundred ninety-one thousand, three hundred forty-four".