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1049063340 = 2235131971997
BaseRepresentation
bin111110100001110…
…110111110101100
32201002222221100210
4332201312332230
54122030011330
6252033022420
734665614463
oct7641667654
92632887323
101049063340
114991948a6
122533b4a10
13139458150
149d47d9da
15621738b0
hex3e876fac

1049063340 has 192 divisors, whose sum is σ = 3380106240. Its totient is φ = 240952320.

The previous prime is 1049063333. The next prime is 1049063341. The reversal of 1049063340 is 433609401.

It is a super-2 number, since 2×10490633402 = 2201067782663911200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1049063298 and 1049063307.

It is not an unprimeable number, because it can be changed into a prime (1049063341) 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 63 ways as a sum of consecutive naturals, for example, 1051722 + ... + 1052718.

It is an arithmetic number, because the mean of its divisors is an integer number (17604720).

Almost surely, 21049063340 is an apocalyptic number.

1049063340 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 1049063340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690053120).

1049063340 is an abundant number, since it is smaller than the sum of its proper divisors (2331042900).

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

1049063340 is a wasteful number, since it uses less digits than its factorization.

1049063340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1049063340 is about 32389.2472898028. The cubic root of 1049063340 is about 1016.0940390254.

The spelling of 1049063340 in words is "one billion, forty-nine million, sixty-three thousand, three hundred forty".