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233414324 = 221121337097
BaseRepresentation
bin11011110100110…
…01111010110100
3121021012200020222
431322121322310
5434223224244
635054513512
75532663143
oct1572317264
9537180228
10233414324
1110a835700
1266205898
13394863b0
1422ddd75a
1515759bee
hexde99eb4

233414324 has 36 divisors (see below), whose sum is σ = 483535332. Its totient is φ = 97933440.

The previous prime is 233414309. The next prime is 233414329. The reversal of 233414324 is 423414332.

It can be written as a sum of positive squares in 2 ways, for example, as 40704400 + 192709924 = 6380^2 + 13882^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 233414293 and 233414302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233414329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12257 + ... + 24840.

It is an arithmetic number, because the mean of its divisors is an integer number (13431537).

Almost surely, 2233414324 is an apocalyptic number.

It is an amenable number.

233414324 is an abundant number, since it is smaller than the sum of its proper divisors (250121008).

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

233414324 is a wasteful number, since it uses less digits than its factorization.

233414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37136 (or 37123 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 233414324 is about 15277.9031283747. The cubic root of 233414324 is about 615.7094718414.

Adding to 233414324 its reverse (423414332), we get a palindrome (656828656).

The spelling of 233414324 in words is "two hundred thirty-three million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1573 3146 6292 37097 74194 148388 408067 482261 816134 964522 1632268 1929044 4488737 5304871 8977474 10609742 17954948 21219484 58353581 116707162 233414324