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234720288 = 25331124697
BaseRepresentation
bin11011111110110…
…00110000100000
3121100200000201000
431333120300200
5440042022123
635142512000
75550042465
oct1577306040
9540600630
10234720288
11110547910
1266735600
133982295a
142325d66c
1515916b43
hexdfd8c20

234720288 has 96 divisors (see below), whose sum is σ = 746867520. Its totient is φ = 71124480.

The previous prime is 234720259. The next prime is 234720293. The reversal of 234720288 is 882027432.

234720288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2347202882 = 110187227197605888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2845 + ... + 21852.

It is an arithmetic number, because the mean of its divisors is an integer number (7779870).

Almost surely, 2234720288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234720288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373433760).

234720288 is an abundant number, since it is smaller than the sum of its proper divisors (512147232).

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

234720288 is a wasteful number, since it uses less digits than its factorization.

234720288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24727 (or 24713 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 234720288 is about 15320.5838008870. The cubic root of 234720288 is about 616.8556445734.

The spelling of 234720288 in words is "two hundred thirty-four million, seven hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 24697 49394 74091 98788 148182 197576 222273 271667 296364 395152 444546 543334 592728 666819 790304 815001 889092 1086668 1185456 1333638 1630002 1778184 2173336 2370912 2445003 2667276 3260004 3556368 4346672 4890006 5334552 6520008 7112736 7335009 8693344 9780012 10669104 13040016 14670018 19560024 21338208 26080032 29340036 39120048 58680072 78240096 117360144 234720288