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234341330432 = 2911223186587
BaseRepresentation
bin1101101000111111010…
…1001110111000000000
3211101212122120000122112
43122033311032320000
512314412340033212
6255353243554452
722634124304616
oct3321765167000
9741778500575
10234341330432
1190424632020
123950052ba28
1319137c44a41
14b4b0d316b6
156168298422
hex368fd4ee00

234341330432 has 80 divisors (see below), whose sum is σ = 513084160512. Its totient is φ = 106040555520.

The previous prime is 234341330413. The next prime is 234341330437. The reversal of 234341330432 is 234033143432.

234341330432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234341330437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162643 + ... + 1349229.

Almost surely, 2234341330432 is an apocalyptic number.

234341330432 is a gapful number since it is divisible by the number (22) 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 234341330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256542080256).

234341330432 is an abundant number, since it is smaller than the sum of its proper divisors (278742830080).

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

234341330432 is a wasteful number, since it uses less digits than its factorization.

234341330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186839 (or 186823 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 234341330432 its reverse (234033143432), we get a palindrome (468374473864).

The spelling of 234341330432 in words is "two hundred thirty-four billion, three hundred forty-one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 223 256 352 446 512 704 892 1408 1784 2453 2816 3568 4906 5632 7136 9812 14272 19624 28544 39248 57088 78496 114176 156992 186587 313984 373174 627968 746348 1255936 1492696 2052457 2985392 4104914 5970784 8209828 11941568 16419656 23883136 32839312 41608901 47766272 65678624 83217802 95532544 131357248 166435604 262714496 332871208 457697911 525428992 665742416 915395822 1050857984 1331484832 1830791644 2662969664 3661583288 5325939328 7323166576 10651878656 14646333152 21303757312 29292666304 58585332608 117170665216 234341330432