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385676676 = 2232711139133
BaseRepresentation
bin10110111111001…
…111010110000100
3222212201101221100
4112333033112010
51242213123201
6102134220100
712362124540
oct2677172604
9885641840
10385676676
11188782660
12a91b4630
1361b97c68
1439316a20
1523cd4886
hex16fcf584

385676676 has 72 divisors (see below), whose sum is σ = 1215474624. Its totient is φ = 100175040.

The previous prime is 385676663. The next prime is 385676677. The reversal of 385676676 is 676676583.

385676676 is a `hidden beast` number, since 3 + 8 + 567 + 6 + 6 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (385676677) 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 23 ways as a sum of consecutive naturals, for example, 66795 + ... + 72338.

It is an arithmetic number, because the mean of its divisors is an integer number (16881592).

Almost surely, 2385676676 is an apocalyptic number.

385676676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385676676 is an abundant number, since it is smaller than the sum of its proper divisors (829797948).

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

385676676 is a wasteful number, since it uses less digits than its factorization.

385676676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139161 (or 139156 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 385676676 is about 19638.6526014388. The cubic root of 385676676 is about 727.9045909060.

The spelling of 385676676 in words is "three hundred eighty-five million, six hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 139133 278266 417399 556532 834798 973931 1252197 1530463 1669596 1947862 2504394 2921793 3060926 3895724 4591389 5008788 5843586 6121852 8765379 9182778 10713241 11687172 13774167 17530758 18365556 21426482 27548334 32139723 35061516 42852964 55096668 64279446 96419169 128558892 192838338 385676676