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234400400433 = 32171532028761
BaseRepresentation
bin1101101001001101011…
…0100100010000110001
3211102000202201002110100
43122103112210100301
512320023000303213
6255403154023013
722635442346433
oct3322326442061
9742022632410
10234400400433
1190454a08201
1239518277a69
13191472575c4
14b4b8b0a653
15616d565773
hex36935a4431

234400400433 has 12 divisors (see below), whose sum is σ = 358494730308. Its totient is φ = 147074760960.

The previous prime is 234400400393. The next prime is 234400400449. The reversal of 234400400433 is 334004004432.

It can be written as a sum of positive squares in 2 ways, for example, as 191066900544 + 43333499889 = 437112^2 + 208167^2 .

It is not a de Polignac number, because 234400400433 - 218 = 234400138289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234400400397 and 234400400406.

It is not an unprimeable number, because it can be changed into a prime (234400400473) 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, 766014228 + ... + 766014533.

It is an arithmetic number, because the mean of its divisors is an integer number (29874560859).

Almost surely, 2234400400433 is an apocalyptic number.

It is an amenable number.

234400400433 is a deficient number, since it is larger than the sum of its proper divisors (124094329875).

234400400433 is a wasteful number, since it uses less digits than its factorization.

234400400433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532028784 (or 1532028781 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 234400400433 its reverse (334004004432), we get a palindrome (568404404865).

The spelling of 234400400433 in words is "two hundred thirty-four billion, four hundred million, four hundred thousand, four hundred thirty-three".

Divisors: 1 3 9 17 51 153 1532028761 4596086283 13788258849 26044488937 78133466811 234400400433