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385223296 = 2761103479
BaseRepresentation
bin10110111101100…
…000101010000000
3222211212101000111
4112331200222000
51242104121141
6102120401104
712355225663
oct2675405200
9884771014
10385223296
111884a2a67
12a9016194
1361a697a3
14392396da
1523c45381
hex16f60a80

385223296 has 64 divisors (see below), whose sum is σ = 789235200. Its totient is φ = 187223040.

The previous prime is 385223291. The next prime is 385223303. The reversal of 385223296 is 692322583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3852232962 = 296793975562207232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385223291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803985 + ... + 804463.

It is an arithmetic number, because the mean of its divisors is an integer number (12331800).

Almost surely, 2385223296 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 385223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394617600).

385223296 is an abundant number, since it is smaller than the sum of its proper divisors (404011904).

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

385223296 is a wasteful number, since it uses less digits than its factorization.

385223296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 645 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 385223296 is about 19627.1061544997. The cubic root of 385223296 is about 727.6192510473.

The spelling of 385223296 in words is "three hundred eighty-five million, two hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 103 122 128 206 244 412 479 488 824 958 976 1648 1916 1952 3296 3832 3904 6283 6592 7664 7808 12566 13184 15328 25132 29219 30656 49337 50264 58438 61312 98674 100528 116876 197348 201056 233752 394696 402112 467504 789392 804224 935008 1578784 1870016 3009557 3157568 3740032 6019114 6315136 12038228 24076456 48152912 96305824 192611648 385223296