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6340618384 = 2417211712
BaseRepresentation
bin1011110011110111…
…00010100010010000
3121100212222210020221
411321323202202100
5100441144242014
62525101242424
7313061236612
oct57173424220
917325883227
106340618384
112764128491
12128b563414
137a08189c9
14442156db2
152719bbb24
hex179ee2890

6340618384 has 45 divisors (see below), whose sum is σ = 13061254521. Its totient is φ = 2981272320.

The previous prime is 6340618381. The next prime is 6340618409. The reversal of 6340618384 is 4838160436.

The square root of 6340618384 is 79628.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4936467600 + 1404150784 = 70260^2 + 37472^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6340618384.

It is not an unprimeable number, because it can be changed into a prime (6340618381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5414119 + ... + 5415289.

Almost surely, 26340618384 is an apocalyptic number.

6340618384 is the 79628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6340618384

6340618384 is an abundant number, since it is smaller than the sum of its proper divisors (6720636137).

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

6340618384 is an equidigital number, since it uses as much as digits as its factorization.

6340618384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The cubic root of 6340618384 is about 1850.8754934810.

The spelling of 6340618384 in words is "six billion, three hundred forty million, six hundred eighteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1171 2312 2342 4624 4684 9368 18736 19907 39814 79628 159256 318512 338419 676838 1353676 1371241 2707352 2742482 5414704 5484964 10969928 21939856 23311097 46622194 93244388 186488776 372977552 396288649 792577298 1585154596 3170309192 6340618384