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1000643424 = 25311947579
BaseRepresentation
bin111011101001001…
…001101101100000
32120201212221201120
4323221021231200
54022131042144
6243143132240
733540220524
oct7351115540
92521787646
101000643424
11473923240
1223b144080
1312c404001
1496c77d84
155ccabe19
hex3ba49b60

1000643424 has 48 divisors (see below), whose sum is σ = 2865481920. Its totient is φ = 303224960.

The previous prime is 1000643419. The next prime is 1000643453. The reversal of 1000643424 is 4243460001.

1000643424 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1000643394 and 1000643403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472734 + ... + 474845.

It is an arithmetic number, because the mean of its divisors is an integer number (59697540).

Almost surely, 21000643424 is an apocalyptic number.

It is an amenable number.

1000643424 is an abundant number, since it is smaller than the sum of its proper divisors (1864838496).

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

1000643424 is a wasteful number, since it uses less digits than its factorization.

1000643424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947603 (or 947595 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1000643424 is about 31632.9483924594. The cubic root of 1000643424 is about 1000.2144286837.

The spelling of 1000643424 in words is "one billion, six hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 947579 1895158 2842737 3790316 5685474 7580632 10423369 11370948 15161264 20846738 22741896 30322528 31270107 41693476 45483792 62540214 83386952 90967584 125080428 166773904 250160856 333547808 500321712 1000643424