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235295328 = 25329223379
BaseRepresentation
bin11100000011001…
…01001001100000
3121101202020111210
432001211021200
5440213422303
635203110120
75554656132
oct1601451140
9541666453
10235295328
111108aa954
1266972340
1339994608
142336d052
15159cc203
hexe065260

235295328 has 96 divisors (see below), whose sum is σ = 643507200. Its totient is φ = 75188736.

The previous prime is 235295323. The next prime is 235295339. The reversal of 235295328 is 823592532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235295323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620643 + ... + 621021.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2235295328 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 235295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

235295328 is an abundant number, since it is smaller than the sum of its proper divisors (408211872).

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

235295328 is a wasteful number, since it uses less digits than its factorization.

235295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 235295328 is about 15339.3392295757. The cubic root of 235295328 is about 617.3589775598.

The spelling of 235295328 in words is "two hundred thirty-five million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 223 232 348 379 446 464 669 696 758 892 928 1137 1338 1392 1516 1784 2274 2676 2784 3032 3568 4548 5352 6064 6467 7136 9096 10704 10991 12128 12934 18192 19401 21408 21982 25868 32973 36384 38802 43964 51736 65946 77604 84517 87928 103472 131892 155208 169034 175856 206944 253551 263784 310416 338068 351712 507102 527568 620832 676136 1014204 1055136 1352272 2028408 2450993 2704544 4056816 4901986 7352979 8113632 9803972 14705958 19607944 29411916 39215888 58823832 78431776 117647664 235295328