Search a number
-
+
354043353240 = 23325983453759
BaseRepresentation
bin1010010011011101010…
…00001101100010011000
31020211211220000211021200
411021232220031202120
521300040044300430
6430351213434200
734402344564063
oct5115650154230
91224756024250
10354043353240
111271702744a5
125874849b960
132750348bc35
14131c886d8da
159321ede460
hex526ea0d898

354043353240 has 48 divisors (see below), whose sum is σ = 1150640899200. Its totient is φ = 94411560768.

The previous prime is 354043353229. The next prime is 354043353289. The reversal of 354043353240 is 42353340453.

354043353240 is a `hidden beast` number, since 3 + 5 + 40 + 43 + 3 + 532 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354043353195 and 354043353204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491726520 + ... + 491727239.

It is an arithmetic number, because the mean of its divisors is an integer number (23971685400).

Almost surely, 2354043353240 is an apocalyptic number.

354043353240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354043353240 is an abundant number, since it is smaller than the sum of its proper divisors (796597545960).

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

354043353240 is a wasteful number, since it uses less digits than its factorization.

354043353240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983453776 (or 983453769 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 354043353240 its reverse (42353340453), we get a palindrome (396396693693).

The spelling of 354043353240 in words is "three hundred fifty-four billion, forty-three million, three hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 983453759 1966907518 2950361277 3933815036 4917268795 5900722554 7867630072 8851083831 9834537590 11801445108 14751806385 17702167662 19669075180 23602890216 29503612770 35404335324 39338150360 44255419155 59007225540 70808670648 88510838310 118014451080 177021676620 354043353240