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234123321432 = 23372111337191197
BaseRepresentation
bin1101101000001011010…
…1100110000001011000
3211101022110100000112010
43122002311212001120
512313441032241212
6255315455145520
722625536253100
oct3320265460130
9741273300463
10234123321432
11903225696a0
123945b5152a0
1319101a23630
14b48ddc2200
15615408303c
hex3682d66058

234123321432 has 768 divisors, whose sum is σ = 830013972480. Its totient is φ = 54054604800.

The previous prime is 234123321407. The next prime is 234123321461.

It is a happy number.

234123321432 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234123321432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1188443158 + ... + 1188443354.

It is an arithmetic number, because the mean of its divisors is an integer number (1080747360).

Almost surely, 2234123321432 is an apocalyptic number.

234123321432 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 234123321432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415006986240).

234123321432 is an abundant number, since it is smaller than the sum of its proper divisors (595890651048).

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

234123321432 is a wasteful number, since it uses less digits than its factorization.

234123321432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 234123 and 321432, that added together give a palindrome (555555).

The spelling of 234123321432 in words is "two hundred thirty-four billion, one hundred twenty-three million, three hundred twenty-one thousand, four hundred thirty-two".