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2043030144 = 2736178623
BaseRepresentation
bin111100111000110…
…0010101010000000
312021101022200111010
41321301202222000
513141003431034
6534421120520
7101425320051
oct17161425200
95241280433
102043030144
11959267871
12490259140
1326736219c
1415549a728
15be5623e9
hex79c62a80

2043030144 has 64 divisors (see below), whose sum is σ = 5436224640. Its totient is φ = 679827456.

The previous prime is 2043030133. The next prime is 2043030149. The reversal of 2043030144 is 4410303402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2043030144.

It is not an unprimeable number, because it can be changed into a prime (2043030149) 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 7 ways as a sum of consecutive naturals, for example, 232617 + ... + 241239.

It is an arithmetic number, because the mean of its divisors is an integer number (84941010).

Almost surely, 22043030144 is an apocalyptic number.

2043030144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718112320).

2043030144 is an abundant number, since it is smaller than the sum of its proper divisors (3393194496).

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

2043030144 is an equidigital number, since it uses as much as digits as its factorization.

2043030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9257 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2043030144 is about 45199.8909733198. The cubic root of 2043030144 is about 1268.8927758501.

Adding to 2043030144 its reverse (4410303402), we get a palindrome (6453333546).

The spelling of 2043030144 in words is "two billion, forty-three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 617 1234 1851 2468 3702 4936 7404 8623 9872 14808 17246 19744 25869 29616 34492 39488 51738 59232 68984 78976 103476 118464 137968 206952 236928 275936 413904 551872 827808 1103744 1655616 3311232 5320391 10640782 15961173 21281564 31922346 42563128 63844692 85126256 127689384 170252512 255378768 340505024 510757536 681010048 1021515072 2043030144