Search a number
-
+
364354234890 = 235125924593923
BaseRepresentation
bin1010100110101010011…
…01000110101000001010
31021211110110202212212020
411103111031012220022
521432144141004030
6435214303425310
735216015616402
oct5232515065012
91254413685766
10364354234890
11130581515498
125a7455b5236
13284876b7139
14138c5dd9802
15972730a510
hex54d5346a0a

364354234890 has 64 divisors (see below), whose sum is σ = 875723788800. Its totient is φ = 97019737664.

The previous prime is 364354234889. The next prime is 364354234949. The reversal of 364354234890 is 98432453463.

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 31 ways as a sum of consecutive naturals, for example, 92874469 + ... + 92878391.

It is an arithmetic number, because the mean of its divisors is an integer number (13683184200).

Almost surely, 2364354234890 is an apocalyptic number.

364354234890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

364354234890 is an abundant number, since it is smaller than the sum of its proper divisors (511369553910).

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

364354234890 is a wasteful number, since it uses less digits than its factorization.

364354234890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651.

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 364354234890 in words is "three hundred sixty-four billion, three hundred fifty-four million, two hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 1259 2459 2518 3777 3923 4918 6295 7377 7554 7846 11769 12295 12590 14754 18885 19615 23538 24590 36885 37770 39230 58845 73770 117690 3095881 4939057 6191762 9287643 9646657 9878114 14817171 15479405 18575286 19293314 24695285 28939971 29634342 30958810 46438215 48233285 49390570 57879942 74085855 92876430 96466570 144699855 148171710 289399710 12145141163 24290282326 36435423489 60725705815 72870846978 121451411630 182177117445 364354234890