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235920384 = 2103372353
BaseRepresentation
bin11100000111111…
…01110000000000
3121102220222221000
432003331300000
5440343423014
635224332000
75563201350
oct1603756000
9542828830
10235920384
11111197527
1267014000
1339b52c7b
1423492b60
1515aa2509
hexe0fdc00

235920384 has 352 divisors, whose sum is σ = 848931840. Its totient is φ = 63258624.

The previous prime is 235920371. The next prime is 235920413. The reversal of 235920384 is 483029532.

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

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, 4451302 + ... + 4451354.

Almost surely, 2235920384 is an apocalyptic number.

235920384 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 235920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

235920384 is an abundant number, since it is smaller than the sum of its proper divisors (613011456).

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

235920384 is a wasteful number, since it uses less digits than its factorization.

235920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 235920384 is about 15359.6999970703. The cubic root of 235920384 is about 617.9051602980.

The spelling of 235920384 in words is "two hundred thirty-five million, nine hundred twenty thousand, three hundred eighty-four".