Search a number
-
+
420133344 = 25313813169
BaseRepresentation
bin11001000010101…
…011100111100000
31002021112222121020
4121002223213200
51330023231334
6105404525440
713261034361
oct3102534740
91067488536
10420133344
111a6177444
12b8850880
1369070617
143db25b68
1526d3de49
hex190ab9e0

420133344 has 48 divisors (see below), whose sum is σ = 1103996880. Its totient is φ = 139898880.

The previous prime is 420133333. The next prime is 420133361. The reversal of 420133344 is 443331024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 130992 + ... + 134160.

It is an arithmetic number, because the mean of its divisors is an integer number (22999935).

Almost surely, 2420133344 is an apocalyptic number.

It is an amenable number.

420133344 is an abundant number, since it is smaller than the sum of its proper divisors (683863536).

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

420133344 is a wasteful number, since it uses less digits than its factorization.

420133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 420133344 is about 20497.1545342274. The cubic root of 420133344 is about 748.9664840027.

Adding to 420133344 its reverse (443331024), we get a palindrome (863464368).

The spelling of 420133344 in words is "four hundred twenty million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1381 2762 3169 4143 5524 6338 8286 9507 11048 12676 16572 19014 22096 25352 33144 38028 44192 50704 66288 76056 101408 132576 152112 304224 4376389 8752778 13129167 17505556 26258334 35011112 52516668 70022224 105033336 140044448 210066672 420133344