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235080384 = 26371115901
BaseRepresentation
bin11100000001100…
…00101011000000
3121101100022122220
432000300223000
5440140033014
635154331040
75553102360
oct1600605300
9541308586
10235080384
11110773410
1266889a80
133991a826
14233149a0
15159886a9
hexe030ac0

235080384 has 112 divisors (see below), whose sum is σ = 775508736. Its totient is φ = 61056000.

The previous prime is 235080371. The next prime is 235080413. The reversal of 235080384 is 483080532.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 6834 + ... + 22734.

Almost surely, 2235080384 is an apocalyptic number.

235080384 is a gapful number since it is divisible by the number (24) 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 235080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387754368).

235080384 is an abundant number, since it is smaller than the sum of its proper divisors (540428352).

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

235080384 is a wasteful number, since it uses less digits than its factorization.

235080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 235080384 is about 15332.3313295793. The cubic root of 235080384 is about 617.1709329771.

The spelling of 235080384 in words is "two hundred thirty-five million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 15901 31802 47703 63604 95406 111307 127208 174911 190812 222614 254416 333921 349822 381624 445228 508832 524733 667842 699644 763248 890456 1017664 1049466 1224377 1335684 1399288 1526496 1780912 2098932 2448754 2671368 2798576 3052992 3561824 3673131 4197864 4897508 5342736 5597152 7123648 7346262 8395728 9795016 10685472 11194304 14692524 16791456 19590032 21370944 29385048 33582912 39180064 58770096 78360128 117540192 235080384