Search a number
-
+
2420437344 = 253133162563
BaseRepresentation
bin1001000001000100…
…1111000101100000
320020200110221211120
42100101033011200
514424112443334
61040102212240
7113660243433
oct22021170540
96220427746
102420437344
111032301446
12576724080
132c75c3160
1418d65d81a
15e2761949
hex9044f160

2420437344 has 96 divisors (see below), whose sum is σ = 7063225344. Its totient is φ = 720714240.

The previous prime is 2420437343. The next prime is 2420437381. The reversal of 2420437344 is 4437340242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420437343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407 + ... + 69969.

It is an arithmetic number, because the mean of its divisors is an integer number (73575264).

Almost surely, 22420437344 is an apocalyptic number.

2420437344 is a gapful number since it is divisible by the number (24) 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 2420437344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531612672).

2420437344 is an abundant number, since it is smaller than the sum of its proper divisors (4642788000).

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

2420437344 is a wasteful number, since it uses less digits than its factorization.

2420437344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62620 (or 62612 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The square root of 2420437344 is about 49197.9404446975. The cubic root of 2420437344 is about 1342.6555610409.

Adding to 2420437344 its reverse (4437340242), we get a palindrome (6857777586).

The spelling of 2420437344 in words is "two billion, four hundred twenty million, four hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 62563 125126 187689 250252 375378 500504 750756 813319 1001008 1501512 1626638 1939453 2002016 2439957 3003024 3253276 3878906 4879914 5818359 6006048 6506552 7757812 9759828 11636718 13013104 15515624 19519656 23273436 25212889 26026208 31031248 39039312 46546872 50425778 62062496 75638667 78078624 93093744 100851556 151277334 186187488 201703112 302554668 403406224 605109336 806812448 1210218672 2420437344