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235311104 = 212729283
BaseRepresentation
bin11100000011010…
…01000000000000
3121101210001011002
432001221000000
5440214423404
635203311132
75555053130
oct1601510000
9541701132
10235311104
11110910796
126697b4a8
133999b852
1423374ac0
15159d1c1e
hexe069000

235311104 has 104 divisors (see below), whose sum is σ = 558298560. Its totient is φ = 97026048.

The previous prime is 235311103. The next prime is 235311163. The reversal of 235311104 is 401113532.

It is not an unprimeable number, because it can be changed into a prime (235311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831347 + ... + 831629.

Almost surely, 2235311104 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 235311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279149280).

235311104 is an abundant number, since it is smaller than the sum of its proper divisors (322987456).

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

235311104 is an equidigital number, since it uses as much as digits as its factorization.

235311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 235311104 is about 15339.8534543196. The cubic root of 235311104 is about 617.3727747421.

Adding to 235311104 its reverse (401113532), we get a palindrome (636424636).

The spelling of 235311104 in words is "two hundred thirty-five million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 283 406 448 464 512 566 812 896 928 1024 1132 1624 1792 1856 1981 2048 2264 3248 3584 3712 3962 4096 4528 6496 7168 7424 7924 8207 9056 12992 14336 14848 15848 16414 18112 25984 28672 29696 31696 32828 36224 51968 57449 59392 63392 65656 72448 103936 114898 118784 126784 131312 144896 207872 229796 253568 262624 289792 415744 459592 507136 525248 579584 831488 919184 1014272 1050496 1159168 1838368 2028544 2100992 3676736 4057088 4201984 7353472 8114176 8403968 14706944 16807936 29413888 33615872 58827776 117655552 235311104