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234333432 = 233337109269
BaseRepresentation
bin11011111011110…
…10010011111000
3121022221101001000
431331322103320
5434442132212
635130325000
75543541564
oct1575722370
9538841030
10234333432
111103031a3
1266589760
1339718848
142319c6a4
151588c1dc
hexdf7a4f8

234333432 has 128 divisors (see below), whose sum is σ = 677160000. Its totient is φ = 75022848.

The previous prime is 234333419. The next prime is 234333439.

234333432 is nontrivially palindromic in base 10.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 234333396 and 234333405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234333439) 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, 870994 + ... + 871262.

Almost surely, 2234333432 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 234333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338580000).

234333432 is an abundant number, since it is smaller than the sum of its proper divisors (442826568).

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

234333432 is a wasteful number, since it uses less digits than its factorization.

234333432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its digits is 15552, while the sum is 27.

The square root of 234333432 is about 15307.9532269994. The cubic root of 234333432 is about 616.5165664707.

The spelling of 234333432 in words is "two hundred thirty-four million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 109 111 148 216 218 222 269 296 327 333 436 444 538 654 666 807 872 888 981 999 1076 1308 1332 1614 1962 1998 2152 2421 2616 2664 2943 3228 3924 3996 4033 4842 5886 6456 7263 7848 7992 8066 9684 9953 11772 12099 14526 16132 19368 19906 23544 24198 29052 29321 29859 32264 36297 39812 48396 58104 58642 59718 72594 79624 87963 89577 96792 108891 117284 119436 145188 175926 179154 217782 234568 238872 263889 268731 290376 351852 358308 435564 527778 537462 703704 716616 791667 871128 1055556 1074924 1084877 1583334 2111112 2149848 2169754 3166668 3254631 4339508 6333336 6509262 8679016 9763893 13018524 19527786 26037048 29291679 39055572 58583358 78111144 117166716 234333432