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384491664 = 2433890027
BaseRepresentation
bin10110111010101…
…110000010010000
3222210111012102000
4112322232002100
51241412213124
6102052554000
712346060644
oct2672560220
9883435360
10384491664
11188043307
12a8922900
136187177b
14390c8c24
1523b4d6c9
hex16eae090

384491664 has 40 divisors (see below), whose sum is σ = 1103634720. Its totient is φ = 128163744.

The previous prime is 384491663. The next prime is 384491677. The reversal of 384491664 is 466194483.

384491664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (384491663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444582 + ... + 445445.

It is an arithmetic number, because the mean of its divisors is an integer number (27590868).

Almost surely, 2384491664 is an apocalyptic number.

It is an amenable number.

384491664 is an abundant number, since it is smaller than the sum of its proper divisors (719143056).

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

384491664 is a wasteful number, since it uses less digits than its factorization.

384491664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890044 (or 890032 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 384491664 is about 19608.4589909559. The cubic root of 384491664 is about 727.1583176013.

The spelling of 384491664 in words is "three hundred eighty-four million, four hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 890027 1780054 2670081 3560108 5340162 7120216 8010243 10680324 14240432 16020486 21360648 24030729 32040972 42721296 48061458 64081944 96122916 128163888 192245832 384491664