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386258064 = 243531491019
BaseRepresentation
bin10111000001011…
…101010010010000
3222220210221110020
4113001131102100
51242340224224
6102154503440
712400065543
oct2701352220
9886727406
10386258064
1118903a445
12a9434b80
136203c78a
143942885a
1523d9bc79
hex1705d490

386258064 has 80 divisors (see below), whose sum is σ = 1024488000. Its totient is φ = 125352448.

The previous prime is 386258053. The next prime is 386258099. The reversal of 386258064 is 460852683.

It is a super-3 number, since 3×3862580643 (a number of 27 digits) contains 333 as substring.

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, 378547 + ... + 379565.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 2386258064 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 386258064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512244000).

386258064 is an abundant number, since it is smaller than the sum of its proper divisors (638229936).

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

386258064 is a wasteful number, since it uses less digits than its factorization.

386258064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 386258064 is about 19653.4491629332. The cubic root of 386258064 is about 728.2701670048.

The spelling of 386258064 in words is "three hundred eighty-six million, two hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 149 159 212 298 318 424 447 596 636 848 894 1019 1192 1272 1788 2038 2384 2544 3057 3576 4076 6114 7152 7897 8152 12228 15794 16304 23691 24456 31588 47382 48912 54007 63176 94764 108014 126352 151831 162021 189528 216028 303662 324042 379056 432056 455493 607324 648084 864112 910986 1214648 1296168 1821972 2429296 2592336 3643944 7287888 8047043 16094086 24141129 32188172 48282258 64376344 96564516 128752688 193129032 386258064