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385441164 = 223241436073
BaseRepresentation
bin10110111110010…
…101110110001100
3222212021102212200
4112332111312030
51242133104124
6102125201500
712360124113
oct2676256614
9885242780
10385441164
11188631719
12a9100290
1361b149c4
1439294c7a
1523c89bc9
hex16f95d8c

385441164 has 72 divisors (see below), whose sum is σ = 1021452432. Its totient is φ = 122411520.

The previous prime is 385441103. The next prime is 385441211. The reversal of 385441164 is 461144583.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60432 + ... + 66504.

Almost surely, 2385441164 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 385441164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510726216).

385441164 is an abundant number, since it is smaller than the sum of its proper divisors (636011268).

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

385441164 is a wasteful number, since it uses less digits than its factorization.

385441164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6162 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 385441164 is about 19632.6555514021. The cubic root of 385441164 is about 727.7563966776.

The spelling of 385441164 in words is "three hundred eighty-five million, four hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 43 82 86 123 129 164 172 246 258 369 387 492 516 738 774 1476 1548 1763 3526 5289 6073 7052 10578 12146 15867 18219 21156 24292 31734 36438 54657 63468 72876 109314 218628 248993 261139 497986 522278 746979 783417 995972 1044556 1493958 1566834 2240937 2350251 2987916 3133668 4481874 4700502 8963748 9401004 10706699 21413398 32120097 42826796 64240194 96360291 128480388 192720582 385441164