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329240568900 = 223524051270913
BaseRepresentation
bin1001100101010000100…
…01000110010001000100
31011110211100012211111110
410302220101012101010
520343241041201100
6411130120005020
732533613442345
oct4625021062104
91143740184443
10329240568900
111176a2799521
1253986000770
132507ca76599
1411d147820cc
15886e7c6250
hex4ca8446444

329240568900 has 72 divisors (see below), whose sum is σ = 952841382304. Its totient is φ = 87775488000.

The previous prime is 329240568887. The next prime is 329240568901. The reversal of 329240568900 is 9865042923.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 329240568900.

It is not an unprimeable number, because it can be changed into a prime (329240568901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1079844 + ... + 1350756.

Almost surely, 2329240568900 is an apocalyptic number.

329240568900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329240568900 is an abundant number, since it is smaller than the sum of its proper divisors (623600813404).

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

329240568900 is a wasteful number, since it uses less digits than its factorization.

329240568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274981 (or 274974 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 329240568900 in words is "three hundred twenty-nine billion, two hundred forty million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4051 8102 12153 16204 20255 24306 40510 48612 60765 81020 101275 121530 202550 243060 270913 303825 405100 541826 607650 812739 1083652 1215300 1354565 1625478 2709130 3250956 4063695 5418260 6772825 8127390 13545650 16254780 20318475 27091300 40636950 81273900 1097468563 2194937126 3292405689 4389874252 5487342815 6584811378 10974685630 13169622756 16462028445 21949371260 27436714075 32924056890 54873428150 65848113780 82310142225 109746856300 164620284450 329240568900