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1001434544 = 241128120249
BaseRepresentation
bin111011101100001…
…010110110110000
32120210101010221022
4323230022312300
54022331401134
6243212115012
733550024145
oct7354126660
92523333838
101001434544
11474313660
1223b465a68
1312c620126
14970023cc
155cdb652e
hex3bb0adb0

1001434544 has 40 divisors (see below), whose sum is σ = 2124306000. Its totient is φ = 453555200.

The previous prime is 1001434541. The next prime is 1001434549. The reversal of 1001434544 is 4454341001.

It is a happy number.

It is a super-2 number, since 2×10014345442 = 2005742291832975872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001434541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39332 + ... + 59580.

It is an arithmetic number, because the mean of its divisors is an integer number (53107650).

Almost surely, 21001434544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001434544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062153000).

1001434544 is an abundant number, since it is smaller than the sum of its proper divisors (1122871456).

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

1001434544 is a wasteful number, since it uses less digits than its factorization.

1001434544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20549 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1001434544 is about 31645.4506051028. The cubic root of 1001434544 is about 1000.4779528580.

Adding to 1001434544 its reverse (4454341001), we get a palindrome (5455775545).

The spelling of 1001434544 in words is "one billion, one million, four hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 281 562 1124 2248 3091 4496 6182 12364 20249 24728 40498 49456 80996 161992 222739 323984 445478 890956 1781912 3563824 5689969 11379938 22759876 45519752 62589659 91039504 125179318 250358636 500717272 1001434544