Search a number
-
+
345440041254 = 23371127552583
BaseRepresentation
bin1010000011011011101…
…01001011100100100110
31020000122022101021221000
411001231311023210212
521124430122310004
6422405402534130
733646216621620
oct5015565134446
91200568337830
10345440041254
11123555996900
1256b47207346
1326761c60899
1412a0ddd9c10
158ebba6ec39
hex506dd4b926

345440041254 has 96 divisors (see below), whose sum is σ = 964313925120. Its totient is φ = 89724674160.

The previous prime is 345440041223. The next prime is 345440041357. The reversal of 345440041254 is 452140044543.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3730554 + ... + 3822029.

It is an arithmetic number, because the mean of its divisors is an integer number (10044936720).

Almost surely, 2345440041254 is an apocalyptic number.

345440041254 is an abundant number, since it is smaller than the sum of its proper divisors (618873883866).

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

345440041254 is a wasteful number, since it uses less digits than its factorization.

345440041254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552623 (or 7552606 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 345440041254 its reverse (452140044543), we get a palindrome (797580085797).

The spelling of 345440041254 in words is "three hundred forty-five billion, four hundred forty million, forty-one thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 1089 1386 1694 2079 2178 2541 3267 4158 5082 6534 7623 15246 22869 45738 7552583 15105166 22657749 45315498 52868081 67973247 83078413 105736162 135946494 158604243 166156826 203919741 249235239 317208486 407839482 475812729 498470478 581548891 747705717 913862543 951625458 1163097782 1427438187 1495411434 1744646673 1827725086 2243117151 2741587629 2854876374 3489293346 4486234302 5233940019 5483175258 6397037801 8224762887 10467880038 12794075602 15701820057 16449525774 19191113403 24674288661 31403640114 38382226806 49348577322 57573340209 115146680418 172720020627 345440041254