Search a number
-
+
238342311 = 3347613079
BaseRepresentation
bin11100011010011…
…01000010100111
3121121111001012000
432031031002213
5442003423221
635352300343
75622606354
oct1615150247
9547431160
10238342311
111125a1119
12679a16b3
133a4c046c
142392362b
1515dcee26
hexe34d0a7

238342311 has 32 divisors (see below), whose sum is σ = 366643200. Its totient is φ = 152915040.

The previous prime is 238342303. The next prime is 238342331. The reversal of 238342311 is 113243832.

238342311 is a `hidden beast` number, since 2 + 3 + 8 + 342 + 311 = 666.

238342311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238342311 - 23 = 238342303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238342331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75870 + ... + 78948.

It is an arithmetic number, because the mean of its divisors is an integer number (11457600).

Almost surely, 2238342311 is an apocalyptic number.

238342311 is a deficient number, since it is larger than the sum of its proper divisors (128300889).

238342311 is a wasteful number, since it uses less digits than its factorization.

238342311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3190 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 238342311 is about 15438.3389974440. The cubic root of 238342311 is about 620.0124095678.

The spelling of 238342311 in words is "two hundred thirty-eight million, three hundred forty-two thousand, three hundred eleven".

Divisors: 1 3 9 27 47 61 141 183 423 549 1269 1647 2867 3079 8601 9237 25803 27711 77409 83133 144713 187819 434139 563457 1302417 1690371 3907251 5071113 8827493 26482479 79447437 238342311