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385555068 = 223219733769
BaseRepresentation
bin10110111110110…
…001101001111100
3222212111020010100
4112332301221330
51242200230233
6102131441100
712361110153
oct2676615174
9885436110
10385555068
111886aa258
12a9156190
1361b547c2
14392c459a
1523cad813
hex16fb1a7c

385555068 has 72 divisors (see below), whose sum is σ = 1028627600. Its totient is φ = 121430016.

The previous prime is 385555061. The next prime is 385555069. The reversal of 385555068 is 860555583.

385555068 is a `hidden beast` number, since 38 + 5 + 5 + 550 + 68 = 666.

385555068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385555061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500988 + ... + 501756.

Almost surely, 2385555068 is an apocalyptic number.

385555068 is a gapful number since it is divisible by the number (38) 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 385555068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514313800).

385555068 is an abundant number, since it is smaller than the sum of its proper divisors (643072532).

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

385555068 is a wasteful number, since it uses less digits than its factorization.

385555068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 385555068 is about 19635.5562182486. The cubic root of 385555068 is about 727.8280774840.

The spelling of 385555068 in words is "three hundred eighty-five million, five hundred fifty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 733 769 1466 1538 2199 2307 2932 3076 4398 4614 6597 6921 8796 9228 13194 13842 13927 14611 26388 27684 27854 29222 41781 43833 55708 58444 83562 87666 125343 131499 167124 175332 250686 262998 501372 525996 563677 1127354 1691031 2254708 3382062 5073093 6764124 10146186 10709863 20292372 21419726 32129589 42839452 64259178 96388767 128518356 192777534 385555068