Search a number
-
+
234369216 = 2632676073
BaseRepresentation
bin11011111100000…
…11000011000000
3121100000012010100
431332003003000
5434444303331
635131202400
75544051114
oct1576030300
9540005110
10234369216
11110328074
12665a6400
133972bc13
14231ab744
1515897ae6
hexdf830c0

234369216 has 84 divisors (see below), whose sum is σ = 681915832. Its totient is φ = 76944384.

The previous prime is 234369203. The next prime is 234369217. The reversal of 234369216 is 612963432.

234369216 is a `hidden beast` number, since 2 + 3 + 436 + 9 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (234369217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35556 + ... + 41628.

Almost surely, 2234369216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340957916).

234369216 is an abundant number, since it is smaller than the sum of its proper divisors (447546616).

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

234369216 is a wasteful number, since it uses less digits than its factorization.

234369216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6145 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 234369216 is about 15309.1219865804. The cubic root of 234369216 is about 616.5479466936.

The spelling of 234369216 in words is "two hundred thirty-four million, three hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 3216 4288 4824 6073 6432 9648 12146 12864 18219 19296 24292 36438 38592 48584 54657 72876 97168 109314 145752 194336 218628 291504 388672 406891 437256 583008 813782 874512 1166016 1220673 1627564 1749024 2441346 3255128 3498048 3662019 4882692 6510256 7324038 9765384 13020512 14648076 19530768 26041024 29296152 39061536 58592304 78123072 117184608 234369216