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384073616 = 24375312241
BaseRepresentation
bin10110111001000…
…111111110010000
3222202200221221202
4112321013332100
51241310323431
6102040010332
712342400103
oct2671077620
9882627852
10384073616
11187888213
12a87609a8
13617563c4
143901a73a
1523ab98cb
hex16e47f90

384073616 has 40 divisors (see below), whose sum is σ = 778738104. Its totient is φ = 183306240.

The previous prime is 384073607. The next prime is 384073621. The reversal of 384073616 is 616370483.

It can be written as a sum of positive squares in 4 ways, for example, as 124992400 + 259081216 = 11180^2 + 16096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 384073616.

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, 25256 + ... + 37496.

Almost surely, 2384073616 is an apocalyptic number.

It is an amenable number.

384073616 is an abundant number, since it is smaller than the sum of its proper divisors (394664488).

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

384073616 is a wasteful number, since it uses less digits than its factorization.

384073616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12339 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 384073616 is about 19597.7962026346. The cubic root of 384073616 is about 726.8946817864.

The spelling of 384073616 in words is "three hundred eighty-four million, seventy-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 37 53 74 106 148 212 296 424 592 848 1961 3922 7844 12241 15688 24482 31376 48964 97928 195856 452917 648773 905834 1297546 1811668 2595092 3623336 5190184 7246672 10380368 24004601 48009202 96018404 192036808 384073616