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2344077312 = 2113381523
BaseRepresentation
bin1000101110110111…
…1100100000000000
320001100210110120020
42023231330200000
514300040433222
61024333413440
7112042220433
oct21355744000
96040713506
102344077312
11aa3196a85
1255503a280
132b48387c5
1418346381a
15dabcb65c
hex8bb7c800

2344077312 has 48 divisors (see below), whose sum is σ = 6249363120. Its totient is φ = 781357056.

The previous prime is 2344077301. The next prime is 2344077313. The reversal of 2344077312 is 2137704432.

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 (2344077313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184618 + ... + 196905.

It is an arithmetic number, because the mean of its divisors is an integer number (130195065).

Almost surely, 22344077312 is an apocalyptic number.

It is an amenable number.

2344077312 is an abundant number, since it is smaller than the sum of its proper divisors (3905285808).

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

2344077312 is an equidigital number, since it uses as much as digits as its factorization.

2344077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381548 (or 381528 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 2344077312 is about 48415.6721733779. The cubic root of 2344077312 is about 1328.3850434270.

The spelling of 2344077312 in words is "two billion, three hundred forty-four million, seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 381523 763046 1144569 1526092 2289138 3052184 4578276 6104368 9156552 12208736 18313104 24417472 36626208 48834944 73252416 97669888 146504832 195339776 293009664 390679552 586019328 781359104 1172038656 2344077312