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235376064 = 26337112961
BaseRepresentation
bin11100000011110…
…00110111000000
3121101220100021000
432001320313000
5440224013224
635204532000
75555443410
oct1601706700
9541810230
10235376064
11110955580
12669b1000
13399c22a1
1423390640
15159e60c9
hexe078dc0

235376064 has 448 divisors, whose sum is σ = 907084800. Its totient is φ = 58060800.

The previous prime is 235376051. The next prime is 235376069. The reversal of 235376064 is 460673532.

235376064 is a `hidden beast` number, since 2 + 3 + 537 + 60 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235376069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3858594 + ... + 3858654.

Almost surely, 2235376064 is an apocalyptic number.

235376064 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 235376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453542400).

235376064 is an abundant number, since it is smaller than the sum of its proper divisors (671708736).

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

235376064 is a wasteful number, since it uses less digits than its factorization.

235376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 235376064 is about 15341.9706687244. The cubic root of 235376064 is about 617.4295801724.

The spelling of 235376064 in words is "two hundred thirty-five million, three hundred seventy-six thousand, sixty-four".