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233012349 = 3323337039
BaseRepresentation
bin11011110001101…
…11110001111101
3121020110020212000
431320313301331
5434122343344
635042132513
75526400203
oct1570676175
9536406760
10233012349
1110a590699
1266051139
133937543b
1422d37073
15156caa69
hexde37c7d

233012349 has 16 divisors (see below), whose sum is σ = 346694400. Its totient is φ = 154670688.

The previous prime is 233012281. The next prime is 233012359. The reversal of 233012349 is 943210332.

It is a happy number.

It is not a de Polignac number, because 233012349 - 28 = 233012093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233012359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12229 + ... + 24810.

It is an arithmetic number, because the mean of its divisors is an integer number (21668400).

Almost surely, 2233012349 is an apocalyptic number.

It is an amenable number.

233012349 is a deficient number, since it is larger than the sum of its proper divisors (113682051).

233012349 is a wasteful number, since it uses less digits than its factorization.

233012349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37281 (or 37275 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 233012349 is about 15264.7420220585. The cubic root of 233012349 is about 615.3558202684.

The spelling of 233012349 in words is "two hundred thirty-three million, twelve thousand, three hundred forty-nine".

Divisors: 1 3 9 27 233 699 2097 6291 37039 111117 333351 1000053 8630087 25890261 77670783 233012349