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640144384 = 21011173343
BaseRepresentation
bin100110001001111…
…101010000000000
31122121112201000021
4212021331100000
52302334110014
6143304303224
721602065105
oct4611752000
91577481007
10640144384
112a9387a50
1215a471b14
13a2813079
1461036aac
153b2ec624
hex2627d400

640144384 has 88 divisors (see below), whose sum is σ = 1478556288. Its totient is φ = 273776640.

The previous prime is 640144381. The next prime is 640144391. The reversal of 640144384 is 483441046.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640144381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189817 + ... + 193159.

It is an arithmetic number, because the mean of its divisors is an integer number (16801776).

Almost surely, 2640144384 is an apocalyptic number.

640144384 is a gapful number since it is divisible by the number (64) 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 640144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739278144).

640144384 is an abundant number, since it is smaller than the sum of its proper divisors (838411904).

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

640144384 is a wasteful number, since it uses less digits than its factorization.

640144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 640144384 is about 25301.0747597805. The cubic root of 640144384 is about 861.8386765355.

The spelling of 640144384 in words is "six hundred forty million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1024 1088 1408 1496 2176 2816 2992 3343 4352 5632 5984 6686 8704 11264 11968 13372 17408 23936 26744 36773 47872 53488 56831 73546 95744 106976 113662 147092 191488 213952 227324 294184 427904 454648 588368 625141 855808 909296 1176736 1250282 1711616 1818592 2353472 2500564 3423232 3637184 4706944 5001128 7274368 9413888 10002256 14548736 18827776 20004512 29097472 37655552 40009024 58194944 80018048 160036096 320072192 640144384