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323432130432 = 2732243375511
BaseRepresentation
bin1001011010011100000…
…11101010011110000000
31010220211112121120211210
410231032003222132000
520244342111133212
6404325505010120
732236643514405
oct4551603523600
91126745546753
10323432130432
11115192007754
1252824923940
132466559bc48
141192319a2ac
15862e8cc53c
hex4b4e0ea780

323432130432 has 64 divisors (see below), whose sum is σ = 859501906560. Its totient is φ = 107762357760.

The previous prime is 323432130403. The next prime is 323432130457. The reversal of 323432130432 is 234031234323.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 323432130432.

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 7 ways as a sum of consecutive naturals, for example, 673557 + ... + 1049067.

It is an arithmetic number, because the mean of its divisors is an integer number (13429717290).

Almost surely, 2323432130432 is an apocalyptic number.

323432130432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323432130432 is an abundant number, since it is smaller than the sum of its proper divisors (536069776128).

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

323432130432 is a wasteful number, since it uses less digits than its factorization.

323432130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377771 (or 377759 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 323432130432 its reverse (234031234323), we get a palindrome (557463364755).

The spelling of 323432130432 in words is "three hundred twenty-three billion, four hundred thirty-two million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2243 4486 6729 8972 13458 17944 26916 35888 53832 71776 107664 143552 215328 287104 375511 430656 751022 861312 1126533 1502044 2253066 3004088 4506132 6008176 9012264 12016352 18024528 24032704 36049056 48065408 72098112 144196224 842271173 1684542346 2526813519 3369084692 5053627038 6738169384 10107254076 13476338768 20214508152 26952677536 40429016304 53905355072 80858032608 107810710144 161716065216 323432130432