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384445568 = 2713463499
BaseRepresentation
bin10110111010100…
…010110010000000
3222210101212011202
4112322202302000
51241404224233
6102052000332
712345506363
oct2672426200
9883355152
10384445568
11188011711
12a89000a8
13618567b0
14390b60da
1523b3ebe8
hex16ea2c80

384445568 has 64 divisors (see below), whose sum is σ = 828240000. Its totient is φ = 176698368.

The previous prime is 384445469. The next prime is 384445591. The reversal of 384445568 is 865544483.

It is a tau number, because it is divible by the number of its divisors (64).

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, 770183 + ... + 770681.

It is an arithmetic number, because the mean of its divisors is an integer number (12941250).

Almost surely, 2384445568 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 384445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414120000).

384445568 is an abundant number, since it is smaller than the sum of its proper divisors (443794432).

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

384445568 is a wasteful number, since it uses less digits than its factorization.

384445568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 47.

The square root of 384445568 is about 19607.2835446423. The cubic root of 384445568 is about 727.1292572145.

The spelling of 384445568 in words is "three hundred eighty-four million, four hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 463 499 832 926 998 1664 1852 1996 3704 3992 6019 6487 7408 7984 12038 12974 14816 15968 24076 25948 29632 31936 48152 51896 59264 63872 96304 103792 192608 207584 231037 385216 415168 462074 770432 830336 924148 1848296 3003481 3696592 6006962 7393184 12013924 14786368 24027848 29572736 48055696 96111392 192222784 384445568