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2419741344 = 25371355009
BaseRepresentation
bin1001000000111010…
…0101001010100000
320020122011121002210
42100032211022200
514423423210334
61040035242120
7113651314326
oct22016451240
96218147083
102419741344
111031976539
12576449340
132c740b417
1418d51bd16
15e26755e9
hex903a52a0

2419741344 has 48 divisors (see below), whose sum is σ = 6441301440. Its totient is φ = 795217920.

The previous prime is 2419741343. The next prime is 2419741361. The reversal of 2419741344 is 4431479142.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2419741343) 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 7 ways as a sum of consecutive naturals, for example, 170689 + ... + 184320.

It is an arithmetic number, because the mean of its divisors is an integer number (134193780).

Almost surely, 22419741344 is an apocalyptic number.

2419741344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2419741344 is an abundant number, since it is smaller than the sum of its proper divisors (4021560096).

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

2419741344 is a wasteful number, since it uses less digits than its factorization.

2419741344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355093 (or 355085 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 2419741344 is about 49190.8664692949. The cubic root of 2419741344 is about 1342.5268545686.

The spelling of 2419741344 in words is "two billion, four hundred nineteen million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 355009 710018 1065027 1420036 2130054 2840072 4260108 5680144 8520216 11360288 17040432 25205639 34080864 50411278 75616917 100822556 151233834 201645112 302467668 403290224 604935336 806580448 1209870672 2419741344