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385336944 = 243231372333
BaseRepresentation
bin10110111101111…
…100011001110000
3222212002010220200
4112331330121300
51242121240234
6102123035200
712356211216
oct2675743160
9885063820
10385336944
11188570393
12a906bb00
1361aa9435
1439268cb6
1523c68d99
hex16f7c670

385336944 has 120 divisors (see below), whose sum is σ = 1143772032. Its totient is φ = 120890880.

The previous prime is 385336927. The next prime is 385336993. The reversal of 385336944 is 449633583.

It is a super-2 number, since 2×3853369442 = 296969120822518272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 385336944.

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, 164002 + ... + 166334.

Almost surely, 2385336944 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 385336944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571886016).

385336944 is an abundant number, since it is smaller than the sum of its proper divisors (758435088).

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

385336944 is a wasteful number, since it uses less digits than its factorization.

385336944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2406 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 385336944 is about 19630.0011207335. The cubic root of 385336944 is about 727.6907977259.

The spelling of 385336944 in words is "three hundred eighty-five million, three hundred thirty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 1116 1147 1332 1488 1776 2232 2294 2333 2664 3441 4464 4588 4666 5328 6882 6999 9176 9332 10323 13764 13998 18352 18664 20646 20997 27528 27996 37328 41292 41994 55056 55992 72323 82584 83988 86321 111984 144646 165168 167976 172642 216969 258963 289292 335952 345284 433938 517926 578584 650907 690568 776889 867876 1035852 1157168 1301814 1381136 1553778 1735752 2071704 2603628 2675951 3107556 3471504 4143408 5207256 5351902 6215112 8027853 10414512 10703804 12430224 16055706 21407608 24083559 32111412 42815216 48167118 64222824 96334236 128445648 192668472 385336944