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2414930349 = 3133117911159
BaseRepresentation
bin1000111111110000…
…1110100110101101
320020022010011122210
42033330032212231
514421210232344
61035344201033
7113562366156
oct21774164655
96208104583
102414930349
11102a18aa07
12574909179
132c6415690
1418ca2892d
15e2024db9
hex8ff0e9ad

2414930349 has 32 divisors (see below), whose sum is σ = 3599769600. Its totient is φ = 1430009280.

The previous prime is 2414930321. The next prime is 2414930351. The reversal of 2414930349 is 9430394142.

It is not a de Polignac number, because 2414930349 - 25 = 2414930317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414930389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210832 + ... + 221990.

It is an arithmetic number, because the mean of its divisors is an integer number (112492800).

Almost surely, 22414930349 is an apocalyptic number.

It is an amenable number.

2414930349 is a deficient number, since it is larger than the sum of its proper divisors (1184839251).

2414930349 is a wasteful number, since it uses less digits than its factorization.

2414930349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385.

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2414930349 is about 49141.9408346882. The cubic root of 2414930349 is about 1341.6365148752.

The spelling of 2414930349 in words is "two billion, four hundred fourteen million, nine hundred thirty thousand, three hundred forty-nine".

Divisors: 1 3 13 31 39 93 179 403 537 1209 2327 5549 6981 11159 16647 33477 72137 145067 216411 345929 435201 1037787 1997461 4497077 5992383 13491231 25966993 61921291 77900979 185763873 804976783 2414930349