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385591640 = 23573121433
BaseRepresentation
bin10110111110111…
…010100101011000
3222212120002021212
4112332322211120
51242202413030
6102132322252
712361321610
oct2676724530
9885502255
10385591640
11188724785
12a9173388
1361b68345
14392d3a40
1523cb9595
hex16fba958

385591640 has 96 divisors (see below), whose sum is σ = 1025252640. Its totient is φ = 127848960.

The previous prime is 385591631. The next prime is 385591651. The reversal of 385591640 is 46195583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268364 + ... + 269796.

It is an arithmetic number, because the mean of its divisors is an integer number (10679715).

Almost surely, 2385591640 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 385591640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512626320).

385591640 is an abundant number, since it is smaller than the sum of its proper divisors (639661000).

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

385591640 is a wasteful number, since it uses less digits than its factorization.

385591640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 385591640 is about 19636.4874659395. The cubic root of 385591640 is about 727.8510895767.

The spelling of 385591640 in words is "three hundred eighty-five million, five hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 961 1085 1240 1433 1736 1922 2170 2866 3844 4340 4805 5732 6727 7165 7688 8680 9610 10031 11464 13454 14330 19220 20062 26908 28660 33635 38440 40124 44423 50155 53816 57320 67270 80248 88846 100310 134540 177692 200620 222115 269080 310961 355384 401240 444230 621922 888460 1243844 1377113 1554805 1776920 2487688 2754226 3109610 5508452 6219220 6885565 9639791 11016904 12438440 13771130 19279582 27542260 38559164 48198955 55084520 77118328 96397910 192795820 385591640