Search a number
-
+
234393768 = 23327465067
BaseRepresentation
bin11011111100010…
…01000010101000
3121100001102210200
431332021002220
5440001100033
635131512200
75544212520
oct1576110250
9540042720
10234393768
11110344564
12665b8660
133973a14b
14231b6680
15158a0013
hexdf890a8

234393768 has 48 divisors (see below), whose sum is σ = 725506080. Its totient is φ = 66969504.

The previous prime is 234393767. The next prime is 234393769. The reversal of 234393768 is 867393432.

It is an interprime number because it is at equal distance from previous prime (234393767) and next prime (234393769).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (234393763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232030 + ... + 233037.

It is an arithmetic number, because the mean of its divisors is an integer number (15114710).

Almost surely, 2234393768 is an apocalyptic number.

234393768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

234393768 is an abundant number, since it is smaller than the sum of its proper divisors (491112312).

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

234393768 is a wasteful number, since it uses less digits than its factorization.

234393768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465086 (or 465079 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 234393768 is about 15309.9238404376. The cubic root of 234393768 is about 616.5694753409.

The spelling of 234393768 in words is "two hundred thirty-four million, three hundred ninety-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 465067 930134 1395201 1860268 2790402 3255469 3720536 4185603 5580804 6510938 8371206 9766407 11161608 13021876 16742412 19532814 26043752 29299221 33484824 39065628 58598442 78131256 117196884 234393768