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2344468144 = 2453612743
BaseRepresentation
bin1000101110111101…
…1011111010110000
320001101112022200111
42023233123322300
514300140440034
61024350031104
7112045436044
oct21357337260
96041468614
102344468144
11aa3433687
125551a8494
132b4944675
14183526024
15dac57364
hex8bbdbeb0

2344468144 has 60 divisors (see below), whose sum is σ = 4711560048. Its totient is φ = 1129739520.

The previous prime is 2344468123. The next prime is 2344468151. The reversal of 2344468144 is 4418644432.

It is a junction number, because it is equal to n+sod(n) for n = 2344468097 and 2344468106.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3155037 + ... + 3155779.

Almost surely, 22344468144 is an apocalyptic number.

It is an amenable number.

2344468144 is an abundant number, since it is smaller than the sum of its proper divisors (2367091904).

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

2344468144 is an equidigital number, since it uses as much as digits as its factorization.

2344468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 859 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The square root of 2344468144 is about 48419.7082188648. The cubic root of 2344468144 is about 1328.4588672906.

The spelling of 2344468144 in words is "two billion, three hundred forty-four million, four hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 53 61 106 122 212 244 424 488 743 848 976 1486 2972 3233 3721 5944 6466 7442 11888 12932 14884 25864 29768 39379 45323 51728 59536 78758 90646 157516 181292 197213 315032 362584 394426 630064 725168 788852 1577704 2402119 2764703 3155408 4804238 5529406 9608476 11058812 19216952 22117624 38433904 44235248 146529259 293058518 586117036 1172234072 2344468144