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379486080 = 2733521961
BaseRepresentation
bin10110100111100…
…111111110000000
3222110001220001000
4112213213332000
51234122023310
6101353412000
712255402261
oct2647477600
9873056030
10379486080
11185234566
12a710a000
136080b29c
1438584968
15234b04c0
hex169e7f80

379486080 has 128 divisors (see below), whose sum is σ = 1344074400. Its totient is φ = 101191680.

The previous prime is 379486067. The next prime is 379486099. The reversal of 379486080 is 80684973.

It is a happy number.

379486080 is a `hidden beast` number, since 37 + 9 + 4 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6300 + ... + 28260.

Almost surely, 2379486080 is an apocalyptic number.

379486080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672037200).

379486080 is an abundant number, since it is smaller than the sum of its proper divisors (964588320).

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

379486080 is a wasteful number, since it uses less digits than its factorization.

379486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21989 (or 21971 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 379486080 is about 19480.4024599083. The cubic root of 379486080 is about 723.9889704576.

The spelling of 379486080 in words is "three hundred seventy-nine million, four hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 21961 43922 65883 87844 109805 131766 175688 197649 219610 263532 329415 351376 395298 439220 527064 592947 658830 702752 790596 878440 988245 1054128 1185894 1317660 1405504 1581192 1756880 1976490 2108256 2371788 2635320 2811008 2964735 3162384 3513760 3952980 4216512 4743576 5270640 5929470 6324768 7027520 7905960 8433024 9487152 10541280 11858940 12649536 14055040 15811920 18974304 21082560 23717880 25299072 31623840 37948608 42165120 47435760 63247680 75897216 94871520 126495360 189743040 379486080