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385344162 = 233723127349
BaseRepresentation
bin10110111101111…
…110001010100010
3222212002111211000
4112331332022202
51242122003122
6102123132430
712356241240
oct2675761242
9885074730
10385344162
11188575855
12a9074116
1361aac7c8
143926b790
1523c6b0ac
hex16f7e2a2

385344162 has 128 divisors (see below), whose sum is σ = 1032192000. Its totient is φ = 104182848.

The previous prime is 385344161. The next prime is 385344209. The reversal of 385344162 is 261443583.

It is not an unprimeable number, because it can be changed into a prime (385344161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1103964 + ... + 1104312.

It is an arithmetic number, because the mean of its divisors is an integer number (8064000).

Almost surely, 2385344162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385344162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516096000).

385344162 is an abundant number, since it is smaller than the sum of its proper divisors (646847838).

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

385344162 is a wasteful number, since it uses less digits than its factorization.

385344162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 385344162 is about 19630.1849711102. The cubic root of 385344162 is about 727.6953413161.

The spelling of 385344162 in words is "three hundred eighty-five million, three hundred forty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 127 138 161 189 207 254 322 349 378 381 414 483 621 698 762 889 966 1047 1143 1242 1449 1778 2094 2286 2443 2667 2898 2921 3141 3429 4347 4886 5334 5842 6282 6858 7329 8001 8027 8694 8763 9423 14658 16002 16054 17526 18846 20447 21987 24003 24081 26289 40894 43974 44323 48006 48162 52578 56189 61341 65961 72243 78867 88646 112378 122682 131922 132969 144486 157734 168567 184023 216729 265938 310261 337134 368046 398907 433458 505701 552069 620522 797814 930783 1011402 1019429 1104138 1196721 1517103 1861566 2038858 2393442 2792349 3034206 3058287 5584698 6116574 7136003 8377047 9174861 14272006 16754094 18349722 21408009 27524583 42816018 55049166 64224027 128448054 192672081 385344162