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1001354442 = 231110921277
BaseRepresentation
bin111011101011110…
…111010011001010
32120210020002001120
4323223313103022
54022321320232
6243210300110
733546241464
oct7353672312
92523202046
101001354442
11474269460
1223b427636
1312c5c282a
1496dc1134
155cd9c92c
hex3baf74ca

1001354442 has 48 divisors (see below), whose sum is σ = 2206727712. Its totient is φ = 300421440.

The previous prime is 1001354429. The next prime is 1001354447. The reversal of 1001354442 is 2444531001.

It is not an unprimeable number, because it can be changed into a prime (1001354447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783508 + ... + 784784.

It is an arithmetic number, because the mean of its divisors is an integer number (45973494).

Almost surely, 21001354442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001354442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103363856).

1001354442 is an abundant number, since it is smaller than the sum of its proper divisors (1205373270).

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

1001354442 is a wasteful number, since it uses less digits than its factorization.

1001354442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1001354442 is about 31644.1849634336. The cubic root of 1001354442 is about 1000.4512769851.

Adding to 1001354442 its reverse (2444531001), we get a palindrome (3445885443).

The spelling of 1001354442 in words is "one billion, one million, three hundred fifty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1199 1277 2398 2554 3597 3831 7194 7662 11881 14047 23762 28094 35643 42141 71286 84282 130691 139193 261382 278386 392073 417579 784146 835158 1531123 3062246 4593369 9186738 15172037 30344074 45516111 91032222 166892407 333784814 500677221 1001354442