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2314194048 = 27328324203
BaseRepresentation
bin1000100111101111…
…1100110010000000
312222021120020102200
42021323330302000
514214413202143
61021345113200
7111230216265
oct21173746200
95867506380
102314194048
11a88336271
12547028800
132ab5a49ba
1417d4c526c
15d82771d3
hex89efcc80

2314194048 has 96 divisors (see below), whose sum is σ = 6739845840. Its totient is φ = 762072576.

The previous prime is 2314194041. The next prime is 2314194089. The reversal of 2314194048 is 8404914132.

It is a happy number.

2314194048 is a `hidden beast` number, since 231 + 4 + 19 + 404 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2314194041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83515 + ... + 107717.

Almost surely, 22314194048 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 2314194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369922920).

2314194048 is an abundant number, since it is smaller than the sum of its proper divisors (4425651792).

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

2314194048 is a wasteful number, since it uses less digits than its factorization.

2314194048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24306 (or 24291 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2314194048 is about 48106.0708019269. The cubic root of 2314194048 is about 1322.7159506942.

The spelling of 2314194048 in words is "two billion, three hundred fourteen million, one hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2988 3984 5312 5976 7968 10624 11952 15936 23904 24203 31872 47808 48406 72609 95616 96812 145218 193624 217827 290436 387248 435654 580872 774496 871308 1161744 1548992 1742616 2008849 2323488 3097984 3485232 4017698 4646976 6026547 6970464 8035396 9293952 12053094 13940928 16070792 18079641 24106188 27881856 32141584 36159282 48212376 64283168 72318564 96424752 128566336 144637128 192849504 257132672 289274256 385699008 578548512 771398016 1157097024 2314194048