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386489040 = 24357379607
BaseRepresentation
bin10111000010010…
…101101011010000
3222221020200021220
4113002111223100
51242420122130
6102203445040
712402050130
oct2702255320
9887220256
10386489040
11189187a33
12a9526780
13620c0952
1439488ac0
1523de5410
hex17095ad0

386489040 has 160 divisors (see below), whose sum is σ = 1375150080. Its totient is φ = 87962112.

The previous prime is 386489023. The next prime is 386489071. The reversal of 386489040 is 40984683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 386488983 and 386489001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636417 + ... + 637023.

It is an arithmetic number, because the mean of its divisors is an integer number (8594688).

Almost surely, 2386489040 is an apocalyptic number.

386489040 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 386489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687575040).

386489040 is an abundant number, since it is smaller than the sum of its proper divisors (988661040).

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

386489040 is a wasteful number, since it uses less digits than its factorization.

386489040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 386489040 is about 19659.3245051807. The cubic root of 386489040 is about 728.4153026256.

The spelling of 386489040 in words is "three hundred eighty-six million, four hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 379 420 560 607 758 840 1137 1214 1516 1680 1821 1895 2274 2428 2653 3032 3035 3642 3790 4249 4548 4856 5306 5685 6064 6070 7284 7580 7959 8498 9096 9105 9712 10612 11370 12140 12747 13265 14568 15160 15918 16996 18192 18210 21224 21245 22740 24280 25494 26530 29136 30320 31836 33992 36420 39795 42448 42490 45480 48560 50988 53060 63672 63735 67984 72840 79590 84980 90960 101976 106120 127344 127470 145680 159180 169960 203952 212240 230053 254940 318360 339920 460106 509880 636720 690159 920212 1019760 1150265 1380318 1610371 1840424 2300530 2760636 3220742 3450795 3680848 4601060 4831113 5521272 6441484 6901590 8051855 9202120 9662226 11042544 12882968 13803180 16103710 18404240 19324452 24155565 25765936 27606360 32207420 38648904 48311130 55212720 64414840 77297808 96622260 128829680 193244520 386489040