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395683740 = 2232519127911
BaseRepresentation
bin10111100101011…
…010011110011100
31000120112211001100
4113211122132130
51302243334430
6103132513100
712543153624
oct2745323634
91016484040
10395683740
11193398061
12b061b790
1363c8caba
143a79d884
1524b0e960
hex1795a79c

395683740 has 144 divisors (see below), whose sum is σ = 1274757120. Its totient is φ = 99066240.

The previous prime is 395683733. The next prime is 395683751. The reversal of 395683740 is 47386593.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433885 + ... + 434795.

It is an arithmetic number, because the mean of its divisors is an integer number (8852480).

Almost surely, 2395683740 is an apocalyptic number.

395683740 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 395683740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378560).

395683740 is an abundant number, since it is smaller than the sum of its proper divisors (879073380).

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

395683740 is a wasteful number, since it uses less digits than its factorization.

395683740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 395683740 is about 19891.8008234549. The cubic root of 395683740 is about 734.1465033861.

The spelling of 395683740 in words is "three hundred ninety-five million, six hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 127 171 180 190 228 254 285 342 380 381 508 570 635 684 762 855 911 1140 1143 1270 1524 1710 1822 1905 2286 2413 2540 2733 3420 3644 3810 4555 4572 4826 5466 5715 7239 7620 8199 9110 9652 10932 11430 12065 13665 14478 16398 17309 18220 21717 22860 24130 27330 28956 32796 34618 36195 40995 43434 48260 51927 54660 69236 72390 81990 86545 86868 103854 108585 115697 144780 155781 163980 173090 207708 217170 231394 259635 311562 346180 347091 434340 462788 519270 578485 623124 694182 778905 1038540 1041273 1156970 1388364 1557810 1735455 2082546 2198243 2313940 3115620 3470910 4165092 4396486 5206365 6594729 6941820 8792972 10412730 10991215 13189458 19784187 20825460 21982430 26378916 32973645 39568374 43964860 65947290 79136748 98920935 131894580 197841870 395683740