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1002320064 = 26327124509
BaseRepresentation
bin111011101111100…
…011000011000000
32120212001010122100
4323233203003000
54023043220224
6243243110400
733560402634
oct7357430300
92525033570
101002320064
11474868999
1223b812400
1312c8701c5
1497192dc4
155ceddac9
hex3bbe30c0

1002320064 has 84 divisors (see below), whose sum is σ = 2913552720. Its totient is φ = 329387520.

The previous prime is 1002320063. The next prime is 1002320087. The reversal of 1002320064 is 4600232001.

It is a happy number.

1002320064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1002320063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28642 + ... + 53150.

Almost surely, 21002320064 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 1002320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456776360).

1002320064 is an abundant number, since it is smaller than the sum of its proper divisors (1911232656).

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

1002320064 is a wasteful number, since it uses less digits than its factorization.

1002320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24598 (or 24585 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002320064 is about 31659.4387821389. The cubic root of 1002320064 is about 1000.7727573589.

Adding to 1002320064 its reverse (4600232001), we get a palindrome (5602552065).

The spelling of 1002320064 in words is "one billion, two million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 10224 13632 20448 24509 40896 49018 73527 98036 147054 196072 220581 294108 392144 441162 588216 784288 882324 1176432 1568576 1740139 1764648 2352864 3480278 3529296 4705728 5220417 6960556 7058592 10440834 13921112 14117184 15661251 20881668 27842224 31322502 41763336 55684448 62645004 83526672 111368896 125290008 167053344 250580016 334106688 501160032 1002320064