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4354401321 = 35433311259
BaseRepresentation
bin1000000111000101…
…01110010000101001
3102020110120111200000
410003202232100221
532404211320241
62000025533213
7212622541404
oct40342562051
912213514600
104354401321
111934a45186
12a16344209
1354518903a
142d4448d3b
151a742ceb6
hex1038ae429

4354401321 has 48 divisors (see below), whose sum is σ = 6699813120. Its totient is φ = 2824612560.

The previous prime is 4354401319. The next prime is 4354401347. The reversal of 4354401321 is 1231044534.

It is a happy number.

It is not a de Polignac number, because 4354401321 - 21 = 4354401319 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (4354471321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3457990 + ... + 3459248.

It is an arithmetic number, because the mean of its divisors is an integer number (139579440).

Almost surely, 24354401321 is an apocalyptic number.

It is an amenable number.

4354401321 is a deficient number, since it is larger than the sum of its proper divisors (2345411799).

4354401321 is a wasteful number, since it uses less digits than its factorization.

4354401321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4354401321 is about 65987.8876840288. The cubic root of 4354401321 is about 1632.9622724443.

Adding to 4354401321 its reverse (1231044534), we get a palindrome (5585445855).

The spelling of 4354401321 in words is "four billion, three hundred fifty-four million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 43 81 129 243 331 387 993 1161 1259 2979 3483 3777 8937 10449 11331 14233 26811 33993 42699 54137 80433 101979 128097 162411 305937 384291 416729 487233 1152873 1250187 1461699 3458619 3750561 4385097 11251683 13155291 17919347 33755049 53758041 101265147 161274123 483822369 1451467107 4354401321