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234435920 = 2452930449
BaseRepresentation
bin11011111100100…
…11010101010000
3121100010120121212
431332103111100
5440003422140
635132435252
75544446435
oct1576232520
9540116555
10234435920
111103731a4
1266618b28
13397533a4
14231c7b8c
15158ac765
hexdf93550

234435920 has 20 divisors (see below), whose sum is σ = 545063700. Its totient is φ = 93774336.

The previous prime is 234435911. The next prime is 234435983. The reversal of 234435920 is 29534432.

It can be written as a sum of positive squares in 2 ways, for example, as 139334416 + 95101504 = 11804^2 + 9752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1465145 + ... + 1465304.

It is an arithmetic number, because the mean of its divisors is an integer number (27253185).

Almost surely, 2234435920 is an apocalyptic number.

234435920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234435920 is an abundant number, since it is smaller than the sum of its proper divisors (310627780).

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

234435920 is a wasteful number, since it uses less digits than its factorization.

234435920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930462 (or 2930456 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 234435920 is about 15311.3004019907. The cubic root of 234435920 is about 616.6064332046.

The spelling of 234435920 in words is "two hundred thirty-four million, four hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2930449 5860898 11721796 14652245 23443592 29304490 46887184 58608980 117217960 234435920