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235704084 = 223711793229
BaseRepresentation
bin11100000110010…
…00111100010100
3121102112000012220
432003020330110
5440320012314
635215542340
75561310630
oct1603107424
9542460186
10235704084
11111059a70
1266b2a9b0
1339aa8695
1423437dc0
1515a5d3a9
hexe0c8f14

235704084 has 96 divisors (see below), whose sum is σ = 694579200. Its totient is φ = 60428160.

The previous prime is 235704043. The next prime is 235704109. The reversal of 235704084 is 480407532.

235704084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71382 + ... + 74610.

It is an arithmetic number, because the mean of its divisors is an integer number (7235200).

Almost surely, 2235704084 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 235704084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347289600).

235704084 is an abundant number, since it is smaller than the sum of its proper divisors (458875116).

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

235704084 is a wasteful number, since it uses less digits than its factorization.

235704084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 235704084 is about 15352.6572292877. The cubic root of 235704084 is about 617.7162635883.

The spelling of 235704084 in words is "two hundred thirty-five million, seven hundred four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 869 924 948 1106 1659 1738 2212 2607 3229 3318 3476 5214 6083 6458 6636 9687 10428 12166 12916 18249 19374 22603 24332 35519 36498 38748 45206 67809 71038 72996 90412 106557 135618 142076 213114 248633 255091 271236 426228 497266 510182 745899 765273 994532 1020364 1491798 1530546 1785637 2806001 2983596 3061092 3571274 5356911 5612002 7142548 8418003 10713822 11224004 16836006 19642007 21427644 33672012 39284014 58926021 78568028 117852042 235704084