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2034046440 = 2332523772
BaseRepresentation
bin111100100111101…
…0001010111101000
312020202102021011100
41321033101113220
513131203441230
6533500401400
7101256052356
oct17117212750
95222367140
102034046440
11954191218
12489246260
1326553809a
141541dc7d6
15bd88a660
hex793d15e8

2034046440 has 72 divisors (see below), whose sum is σ = 6613433190. Its totient is φ = 542184192.

The previous prime is 2034046433. The next prime is 2034046451. The reversal of 2034046440 is 446404302.

It can be written as a sum of positive squares in 3 ways, for example, as 1443848004 + 590198436 = 37998^2 + 24294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 854532 + ... + 856908.

Almost surely, 22034046440 is an apocalyptic number.

2034046440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034046440 is an abundant number, since it is smaller than the sum of its proper divisors (4579386750).

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

2034046440 is an equidigital number, since it uses as much as digits as its factorization.

2034046440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2034046440 is about 45100.4039893214. The cubic root of 2034046440 is about 1267.0301656049.

The spelling of 2034046440 in words is "two billion, thirty-four million, forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2377 4754 7131 9508 11885 14262 19016 21393 23770 28524 35655 42786 47540 57048 71310 85572 95080 106965 142620 171144 213930 285240 427860 855720 5650129 11300258 16950387 22600516 28250645 33900774 45201032 50851161 56501290 67801548 84751935 101702322 113002580 135603096 169503870 203404644 226005160 254255805 339007740 406809288 508511610 678015480 1017023220 2034046440