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232034334000 = 243537411271061
BaseRepresentation
bin1101100000011001010…
…0101111010100110000
3211011220212112110111020
43120012110233110300
512300201242142000
6254332313015440
722523012203530
oct3300624572460
9734825473436
10232034334000
118a4503724a7
1238b779b4580
1318b5acc01b1
14b3327a14c0
156080993ba0
hex360652f530

232034334000 has 640 divisors, whose sum is σ = 883527450624. Its totient is φ = 51287040000.

The previous prime is 232034333989. The next prime is 232034334017. The reversal of 232034334000 is 433430232.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 218693470 + ... + 218694530.

Almost surely, 2232034334000 is an apocalyptic number.

232034334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232034334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441763725312).

232034334000 is an abundant number, since it is smaller than the sum of its proper divisors (651493116624).

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

232034334000 is a wasteful number, since it uses less digits than its factorization.

232034334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 232034334000 its reverse (433430232), we get a palindrome (232467764232).

The spelling of 232034334000 in words is "two hundred thirty-two billion, thirty-four million, three hundred thirty-four thousand".