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2034656448 = 26311963379
BaseRepresentation
bin111100101000110…
…0110010011000000
312020210120020221020
41321101212103000
513131333001243
6533521425440
7101264202666
oct17121462300
95223506836
102034656448
11954568560
1248949b280
132656bc936
1415431ac36
15bd95b283
hex794664c0

2034656448 has 56 divisors (see below), whose sum is σ = 5872764480. Its totient is φ = 616561920.

The previous prime is 2034656411. The next prime is 2034656453. The reversal of 2034656448 is 8446564302.

It is a super-2 number, since 2×20346564482 = 8279653722775953408, which contains 22 as substring.

It is an unprimeable number.

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, 479578 + ... + 483801.

Almost surely, 22034656448 is an apocalyptic number.

It is an amenable number.

2034656448 is an abundant number, since it is smaller than the sum of its proper divisors (3838108032).

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

2034656448 is a wasteful number, since it uses less digits than its factorization.

2034656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963405 (or 963395 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 2034656448 is about 45107.1662599193. The cubic root of 2034656448 is about 1267.1568132027.

The spelling of 2034656448 in words is "two billion, thirty-four million, six hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 963379 1926758 2890137 3853516 5780274 7707032 10597169 11560548 15414064 21194338 23121096 30828128 31791507 42388676 46242192 61656256 63583014 84777352 92484384 127166028 169554704 184968768 254332056 339109408 508664112 678218816 1017328224 2034656448