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234842327400 = 23352661592139
BaseRepresentation
bin1101101010110110110…
…0011000100101101000
3211110011120021022021210
43122231230120211220
512321424113434100
6255515102033120
722652416563312
oct3325554304550
9743146238253
10234842327400
119066140a4aa
12396202787a0
13191b7988855
14b51b6a67b2
15619725bc50
hex36adb18968

234842327400 has 96 divisors (see below), whose sum is σ = 729113824800. Its totient is φ = 62529772800.

The previous prime is 234842327399. The next prime is 234842327413. The reversal of 234842327400 is 4723248432.

234842327400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 100531 + ... + 692669.

It is an arithmetic number, because the mean of its divisors is an integer number (7594935675).

Almost surely, 2234842327400 is an apocalyptic number.

234842327400 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 234842327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364556912400).

234842327400 is an abundant number, since it is smaller than the sum of its proper divisors (494271497400).

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

234842327400 is a wasteful number, since it uses less digits than its factorization.

234842327400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592819 (or 592810 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 234842327400 in words is "two hundred thirty-four billion, eight hundred forty-two million, three hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 661 1322 1983 2644 3305 3966 5288 6610 7932 9915 13220 15864 16525 19830 26440 33050 39660 49575 66100 79320 99150 132200 198300 396600 592139 1184278 1776417 2368556 2960695 3552834 4737112 5921390 7105668 8882085 11842780 14211336 14803475 17764170 23685560 29606950 35528340 44410425 59213900 71056680 88820850 118427800 177641700 355283400 391403879 782807758 1174211637 1565615516 1957019395 2348423274 3131231032 3914038790 4696846548 5871058185 7828077580 9393693096 9785096975 11742116370 15656155160 19570193950 23484232740 29355290925 39140387900 46968465480 58710581850 78280775800 117421163700 234842327400