Search a number
-
+
354320114022 = 233724112793041
BaseRepresentation
bin1010010011111110001…
…11111110000101100110
31020212120011210201201000
411021333013332011212
521301121422122042
6430434501414130
734412245163610
oct5117707760546
91225504721630
10354320114022
111272a2515a16
125880510a346
1327548911104
1413213513db0
15933b45c74c
hex527f1fe166

354320114022 has 128 divisors (see below), whose sum is σ = 904598323200. Its totient is φ = 100702310400.

The previous prime is 354320114017. The next prime is 354320114039. The reversal of 354320114022 is 220411023453.

354320114022 is a `hidden beast` number, since 3 + 54 + 3 + 201 + 1 + 402 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 116512822 + ... + 116515862.

It is an arithmetic number, because the mean of its divisors is an integer number (7067174400).

Almost surely, 2354320114022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354320114022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452299161600).

354320114022 is an abundant number, since it is smaller than the sum of its proper divisors (550278209178).

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

354320114022 is a wasteful number, since it uses less digits than its factorization.

354320114022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4573 counting only the distinct ones).

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

Adding to 354320114022 its reverse (220411023453), we get a palindrome (574731137475).

The spelling of 354320114022 in words is "three hundred fifty-four billion, three hundred twenty million, one hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 241 378 482 723 1279 1446 1687 2169 2558 3041 3374 3837 4338 5061 6082 6507 7674 8953 9123 10122 11511 13014 15183 17906 18246 21287 23022 26859 27369 30366 34533 42574 45549 53718 54738 63861 69066 80577 82107 91098 127722 161154 164214 191583 241731 308239 383166 483462 574749 616478 732881 924717 1149498 1465762 1849434 2157673 2198643 2774151 3889439 4315346 4397286 5130167 5548302 6473019 6595929 7778878 8322453 10260334 11668317 12946038 13191858 15390501 16644906 19419057 19787787 23336634 27226073 30781002 35004951 38838114 39575574 46171503 54452146 58257171 70009902 81678219 92343006 105014853 116514342 138514509 163356438 210029706 245034657 277029018 490069314 735103971 937354799 1470207942 1874709598 2812064397 5624128794 6561483593 8436193191 13122967186 16872386382 19684450779 25308579573 39368901558 50617159146 59053352337 118106704674 177160057011 354320114022