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233034320 = 2452912929
BaseRepresentation
bin11011110001111…
…01001001010000
3121020111100222202
431320331021100
5434124044240
635042422332
75526521231
oct1570751120
9536440882
10233034320
1110a5a6152
12660619a8
133938243c
1422d41088
15156d2315
hexde3d250

233034320 has 20 divisors (see below), whose sum is σ = 541804980. Its totient is φ = 93213696.

The previous prime is 233034313. The next prime is 233034379. The reversal of 233034320 is 23430332.

233034320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 114746944 + 118287376 = 10712^2 + 10876^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233034292 and 233034301.

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, 1456385 + ... + 1456544.

It is an arithmetic number, because the mean of its divisors is an integer number (27090249).

Almost surely, 2233034320 is an apocalyptic number.

233034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233034320 is an abundant number, since it is smaller than the sum of its proper divisors (308770660).

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

233034320 is a wasteful number, since it uses less digits than its factorization.

233034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912942 (or 2912936 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 233034320 is about 15265.4616700577. The cubic root of 233034320 is about 615.3751605278.

Adding to 233034320 its reverse (23430332), we get a palindrome (256464652).

The spelling of 233034320 in words is "two hundred thirty-three million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2912929 5825858 11651716 14564645 23303432 29129290 46606864 58258580 116517160 233034320