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1012003440 = 24357602383
BaseRepresentation
bin111100010100011…
…111001001110000
32121112021002201220
4330110133021300
54033033102230
6244230425040
734035613230
oct7424371160
92545232656
101012003440
1147a282188
12242b02180
13131880906
1498593cc0
155dca2d10
hex3c51f270

1012003440 has 80 divisors (see below), whose sum is σ = 3585389568. Its totient is φ = 231314688.

The previous prime is 1012003439. The next prime is 1012003493. The reversal of 1012003440 is 443002101.

1012003440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299512 + ... + 302871.

Almost surely, 21012003440 is an apocalyptic number.

1012003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012003440 is an abundant number, since it is smaller than the sum of its proper divisors (2573386128).

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

1012003440 is a wasteful number, since it uses less digits than its factorization.

1012003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602406 (or 602400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1012003440 is about 31812.0015088645. The cubic root of 1012003440 is about 1003.9852434036.

Subtracting from 1012003440 its product of nonzero digits (96), we obtain a square (1012003344 = 318122).

Adding to 1012003440 its reverse (443002101), we get a palindrome (1455005541).

The spelling of 1012003440 in words is "one billion, twelve million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 602383 1204766 1807149 2409532 3011915 3614298 4216681 4819064 6023830 7228596 8433362 9035745 9638128 12047660 12650043 14457192 16866724 18071490 21083405 24095320 25300086 28914384 33733448 36142980 42166810 48190640 50600172 63250215 67466896 72285960 84333620 101200344 126500430 144571920 168667240 202400688 253000860 337334480 506001720 1012003440