Search a number
-
+
334432101304 = 23743612276783
BaseRepresentation
bin1001101110111011011…
…01001110001110111000
31011222020011000000010101
410313131231032032320
520434404104220204
6413345212325144
733106352646340
oct4673555161670
91158204000111
10334432101304
11119917225674
12549947737b4
13256c94b6252
141228805dd20
158a75462ea4
hex4dddb4e3b8

334432101304 has 64 divisors (see below), whose sum is σ = 745328010240. Its totient is φ = 137699775360.

The previous prime is 334432101301. The next prime is 334432101349. The reversal of 334432101304 is 403101234433.

It is a super-2 number, since 2×3344321013042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334432101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991504 + ... + 1285279.

It is an arithmetic number, because the mean of its divisors is an integer number (11645750160).

Almost surely, 2334432101304 is an apocalyptic number.

It is an amenable number.

334432101304 is an abundant number, since it is smaller than the sum of its proper divisors (410895908936).

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

334432101304 is a wasteful number, since it uses less digits than its factorization.

334432101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276900 (or 2276896 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 334432101304 its reverse (403101234433), we get a palindrome (737533335737).

The spelling of 334432101304 in words is "three hundred thirty-four billion, four hundred thirty-two million, one hundred one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 43 56 61 86 122 172 244 301 344 427 488 602 854 1204 1708 2408 2623 3416 5246 10492 18361 20984 36722 73444 146888 2276783 4553566 9107132 15937481 18214264 31874962 63749924 97901669 127499848 138883763 195803338 277767526 391606676 555535052 685311683 783213352 972186341 1111070104 1370623366 1944372682 2741246732 3888745364 5482493464 5972001809 7777490728 11944003618 23888007236 41804012663 47776014472 83608025326 167216050652 334432101304