Search a number
-
+
234120021432 = 233111675310289
BaseRepresentation
bin1101101000001010100…
…1000000010110111000
3211101022020010100202220
43122002221000112320
512313434211141212
6255315300324040
722625466230103
oct3320251002670
9741266110686
10234120021432
1190320715320
123945a3a3620
131910113957b
14b48d7a373a
156153b3038c
hex3682a405b8

234120021432 has 64 divisors (see below), whose sum is σ = 642332678400. Its totient is φ = 70520624640.

The previous prime is 234120021409. The next prime is 234120021449.

It is a happy number.

234120021432 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2611057 + ... + 2699232.

It is an arithmetic number, because the mean of its divisors is an integer number (10036448100).

Almost surely, 2234120021432 is an apocalyptic number.

234120021432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234120021432 is an abundant number, since it is smaller than the sum of its proper divisors (408212656968).

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

234120021432 is a wasteful number, since it uses less digits than its factorization.

234120021432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310476 (or 5310472 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2341200 and 21432, that added together give a palindrome (2362632).

The spelling of 234120021432 in words is "two hundred thirty-four billion, one hundred twenty million, twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 501 668 1002 1336 1837 2004 3674 4008 5511 7348 11022 14696 22044 44088 5310289 10620578 15930867 21241156 31861734 42482312 58413179 63723468 116826358 127446936 175239537 233652716 350479074 467305432 700958148 886818263 1401916296 1773636526 2660454789 3547273052 5320909578 7094546104 9755000893 10641819156 19510001786 21283638312 29265002679 39020003572 58530005358 78040007144 117060010716 234120021432