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233414104 = 23711378919
BaseRepresentation
bin11011110100110…
…01110111011000
3121021012122221211
431322121313120
5434223222404
635054512504
75532662410
oct1572316730
9537178854
10233414104
1110a835520
1266205734
1339486271
1422ddd640
1515759b04
hexde99dd8

233414104 has 32 divisors (see below), whose sum is σ = 545644800. Its totient is φ = 90940320.

The previous prime is 233414101. The next prime is 233414117. The reversal of 233414104 is 401414332.

It is a super-2 number, since 2×2334141042 = 108964287892245632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233414101) 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 7 ways as a sum of consecutive naturals, for example, 188844 + ... + 190075.

It is an arithmetic number, because the mean of its divisors is an integer number (17051400).

Almost surely, 2233414104 is an apocalyptic number.

It is an amenable number.

233414104 is an abundant number, since it is smaller than the sum of its proper divisors (312230696).

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

233414104 is a wasteful number, since it uses less digits than its factorization.

233414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378943 (or 378939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 233414104 is about 15277.8959284320. The cubic root of 233414104 is about 615.7092783998.

Adding to 233414104 its reverse (401414332), we get a palindrome (634828436).

The spelling of 233414104 in words is "two hundred thirty-three million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 378919 757838 1515676 2652433 3031352 4168109 5304866 8336218 10609732 16672436 21219464 29176763 33344872 58353526 116707052 233414104