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1003341040 = 245133131121
BaseRepresentation
bin111011110011011…
…100010011110000
32120220222000011021
4323303130103300
54023323403130
6243321025224
733602154352
oct7363342360
92526860137
101003341040
114753a5a79
12240025214
1312cb39b30
149737b0d2
155d14137a
hex3bcdc4f0

1003341040 has 80 divisors (see below), whose sum is σ = 2593334016. Its totient is φ = 358502400.

The previous prime is 1003341023. The next prime is 1003341041. The reversal of 1003341040 is 401433001.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003341041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16680 + ... + 47800.

Almost surely, 21003341040 is an apocalyptic number.

1003341040 is a gapful number since it is divisible by the number (10) 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 1003341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

1003341040 is an abundant number, since it is smaller than the sum of its proper divisors (1589992976).

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

1003341040 is a wasteful number, since it uses less digits than its factorization.

1003341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31178 (or 31172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1003341040 is about 31675.5590321623. The cubic root of 1003341040 is about 1001.1124420139.

Adding to 1003341040 its reverse (401433001), we get a palindrome (1404774041).

The spelling of 1003341040 in words is "one billion, three million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 16120 31121 32240 62242 124484 155605 248968 311210 404573 497936 622420 809146 964751 1244840 1618292 1929502 2022865 2489680 3236584 3859004 4045730 4823755 6473168 7718008 8091460 9647510 12541763 15436016 16182920 19295020 25083526 32365840 38590040 50167052 62708815 77180080 100334104 125417630 200668208 250835260 501670520 1003341040