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235378845 = 33513711889
BaseRepresentation
bin11100000011110…
…01100010011101
3121101220111002000
432001321202131
5440224110340
635204552513
75555454462
oct1601714235
9541814060
10235378845
11110957679
12669b2739
13399c3630
1423391669
15159e6d30
hexe07989d

235378845 has 64 divisors (see below), whose sum is σ = 457228800. Its totient is φ = 114186240.

The previous prime is 235378837. The next prime is 235378873. The reversal of 235378845 is 548873532.

235378845 is a `hidden beast` number, since 235 + 378 + 8 + 45 = 666.

235378845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 235378845 - 23 = 235378837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 235378845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123661 + ... + 125549.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2235378845 is an apocalyptic number.

It is an amenable number.

235378845 is a deficient number, since it is larger than the sum of its proper divisors (221849955).

235378845 is a wasteful number, since it uses less digits than its factorization.

235378845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 235378845 is about 15342.0613021849. The cubic root of 235378845 is about 617.4320118342.

The spelling of 235378845 in words is "two hundred thirty-five million, three hundred seventy-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 71 117 135 195 213 351 355 585 639 923 1065 1755 1889 1917 2769 3195 4615 5667 8307 9445 9585 13845 17001 24557 24921 28335 41535 51003 73671 85005 122785 124605 134119 221013 255015 368355 402357 663039 670595 1105065 1207071 1743547 2011785 3315195 3621213 5230641 6035355 8717735 15691923 18106065 26153205 47075769 78459615 235378845