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384329616 = 243113072371
BaseRepresentation
bin10110111010000…
…110011110010000
3222210011222010020
4112322012132100
51241342021431
6102045303440
712344514336
oct2672063620
9883158106
10384329616
11187a42590
12a8864b80
1361815a98
1439085b56
1523b1a696
hex16e86790

384329616 has 80 divisors (see below), whose sum is σ = 1087097088. Its totient is φ = 116035200.

The previous prime is 384329593. The next prime is 384329633. The reversal of 384329616 is 616923483.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160911 + ... + 163281.

Almost surely, 2384329616 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 384329616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543548544).

384329616 is an abundant number, since it is smaller than the sum of its proper divisors (702767472).

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

384329616 is a wasteful number, since it uses less digits than its factorization.

384329616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2694 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 384329616 is about 19604.3264612687. The cubic root of 384329616 is about 727.0561471078.

The spelling of 384329616 in words is "three hundred eighty-four million, three hundred twenty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 307 528 614 921 1228 1842 2371 2456 3377 3684 4742 4912 6754 7113 7368 9484 10131 13508 14226 14736 18968 20262 26081 27016 28452 37936 40524 52162 54032 56904 78243 81048 104324 113808 156486 162096 208648 312972 417296 625944 727897 1251888 1455794 2183691 2911588 4367382 5823176 8006867 8734764 11646352 16013734 17469528 24020601 32027468 34939056 48041202 64054936 96082404 128109872 192164808 384329616