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384213840 = 24351600891
BaseRepresentation
bin10110111001101…
…010001101010000
3222202222002022020
4112321222031100
51241324320330
6102043011440
712343522653
oct2671521520
9882862266
10384213840
111879735aa
12a8809b80
13617a518a
143905589a
1523ae6210
hex16e6a350

384213840 has 40 divisors (see below), whose sum is σ = 1191063648. Its totient is φ = 102456960.

The previous prime is 384213811. The next prime is 384213857. The reversal of 384213840 is 48312483.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 800206 + ... + 800685.

Almost surely, 2384213840 is an apocalyptic number.

384213840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384213840 is an abundant number, since it is smaller than the sum of its proper divisors (806849808).

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

384213840 is a wasteful number, since it uses less digits than its factorization.

384213840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600907 (or 1600901 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 384213840 is about 19601.3734212682. The cubic root of 384213840 is about 726.9831332999.

The spelling of 384213840 in words is "three hundred eighty-four million, two hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1600891 3201782 4802673 6403564 8004455 9605346 12807128 16008910 19210692 24013365 25614256 32017820 38421384 48026730 64035640 76842768 96053460 128071280 192106920 384213840