Search a number
-
+
233661328 = 2417859049
BaseRepresentation
bin11011110110101…
…10001110010000
3121021200020002021
431323112032100
5434304130303
635104101224
75535042235
oct1573261620
9537606067
10233661328
1110a99423a
1266304814
1339541954
142306578c
15157a7ebd
hexded6390

233661328 has 20 divisors (see below), whose sum is σ = 479349900. Its totient is φ = 109958144.

The previous prime is 233661319. The next prime is 233661359. The reversal of 233661328 is 823166332.

It can be written as a sum of positive squares in 2 ways, for example, as 158457744 + 75203584 = 12588^2 + 8672^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 233661293 and 233661302.

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, 429253 + ... + 429796.

It is an arithmetic number, because the mean of its divisors is an integer number (23967495).

Almost surely, 2233661328 is an apocalyptic number.

It is an amenable number.

233661328 is an abundant number, since it is smaller than the sum of its proper divisors (245688572).

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

233661328 is a wasteful number, since it uses less digits than its factorization.

233661328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859074 (or 859068 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 233661328 is about 15285.9846918673. The cubic root of 233661328 is about 615.9265808939.

The spelling of 233661328 in words is "two hundred thirty-three million, six hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 859049 1718098 3436196 6872392 13744784 14603833 29207666 58415332 116830664 233661328