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386120640 = 26351273167
BaseRepresentation
bin10111000000111…
…011101111000000
3222220112221221110
4113000323233000
51242321330030
6102151523320
712365654103
oct2700735700
9886487843
10386120640
11188a56174
12a9389540
1361cc2069
14393d073a
1523d711b0
hex1703bbc0

386120640 has 112 divisors (see below), whose sum is σ = 1235976192. Its totient is φ = 102122496.

The previous prime is 386120639. The next prime is 386120653. The reversal of 386120640 is 46021683.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 386120598 and 386120607.

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, 120337 + ... + 123503.

Almost surely, 2386120640 is an apocalyptic number.

386120640 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 386120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617988096).

386120640 is an abundant number, since it is smaller than the sum of its proper divisors (849855552).

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

386120640 is a wasteful number, since it uses less digits than its factorization.

386120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 386120640 is about 19649.9526716987. The cubic root of 386120640 is about 728.1837880782.

It can be divided in two parts, 386120 and 640, that added together give a triangular number (386760 = T879).

The spelling of 386120640 in words is "three hundred eighty-six million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 960 1016 1270 1524 1905 2032 2540 3048 3167 3810 4064 5080 6096 6334 7620 8128 9501 10160 12192 12668 15240 15835 19002 20320 24384 25336 30480 31670 38004 40640 47505 50672 60960 63340 76008 95010 101344 121920 126680 152016 190020 202688 253360 304032 380040 402209 506720 608064 760080 804418 1013440 1206627 1520160 1608836 2011045 2413254 3040320 3217672 4022090 4826508 6033135 6435344 8044180 9653016 12066270 12870688 16088360 19306032 24132540 25741376 32176720 38612064 48265080 64353440 77224128 96530160 128706880 193060320 386120640