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385110096 = 24376771693
BaseRepresentation
bin10110111101000…
…101000001010000
3222211122121201220
4112331011001100
51242042010341
6102114125040
712354244650
oct2675050120
9884577656
10385110096
11188425a08
12a8b80780
1361a2a0c7
143920a360
1523c21a66
hex16f45050

385110096 has 80 divisors (see below), whose sum is σ = 1139343744. Its totient is φ = 109804032.

The previous prime is 385110041. The next prime is 385110119. The reversal of 385110096 is 690011583.

It is a super-2 number, since 2×3851100962 = 296619572082258432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226626 + ... + 228318.

Almost surely, 2385110096 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 385110096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569671872).

385110096 is an abundant number, since it is smaller than the sum of its proper divisors (754233648).

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

385110096 is a wasteful number, since it uses less digits than its factorization.

385110096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 385110096 is about 19624.2221756685. Note that the first 3 decimals coincide. The cubic root of 385110096 is about 727.5479724155.

The spelling of 385110096 in words is "three hundred eighty-five million, one hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 677 1354 1693 2031 2708 3386 4062 4739 5079 5416 6772 8124 9478 10158 10832 11851 13544 14217 16248 18956 20316 23702 27088 28434 32496 35553 37912 40632 47404 56868 71106 75824 81264 94808 113736 142212 189616 227472 284424 568848 1146161 2292322 3438483 4584644 6876966 8023127 9169288 13753932 16046254 18338576 24069381 27507864 32092508 48138762 55015728 64185016 96277524 128370032 192555048 385110096