Search a number
-
+
234621117808 = 2471117411991373
BaseRepresentation
bin1101101010000010000…
…0100010010101110000
3211102121011000200202221
43122200200202111300
512321001001232213
6255441120450424
722644062411350
oct3324040422560
9742534020687
10234621117808
1190558560460
123957a179a14
1319180bb66bc
14b4da162b60
156182b1338d
hex36a0822570

234621117808 has 320 divisors, whose sum is σ = 618260428800. Its totient is φ = 83452723200.

The previous prime is 234621117803. The next prime is 234621117821. The reversal of 234621117808 is 808711126432.

234621117808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234621117803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170881410 + ... + 170882782.

It is an arithmetic number, because the mean of its divisors is an integer number (1932063840).

Almost surely, 2234621117808 is an apocalyptic number.

234621117808 is a gapful number since it is divisible by the number (28) 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 234621117808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309130214400).

234621117808 is an abundant number, since it is smaller than the sum of its proper divisors (383639310992).

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

234621117808 is a wasteful number, since it uses less digits than its factorization.

234621117808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 234621117808 in words is "two hundred thirty-four billion, six hundred twenty-one million, one hundred seventeen thousand, eight hundred eight".