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234252368 = 24719315367
BaseRepresentation
bin11011111011001…
…10100001010000
3121022210020211122
431331212201100
5434432033433
635124501412
75543053340
oct1575464120
9538706748
10234252368
111102582a9
126654a868
13396ba98c
142317ad20
1515873198
hexdf66850

234252368 has 160 divisors (see below), whose sum is σ = 582819840. Its totient is φ = 88957440.

The previous prime is 234252307. The next prime is 234252373. The reversal of 234252368 is 863252432.

234252368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3496271 + ... + 3496337.

It is an arithmetic number, because the mean of its divisors is an integer number (3642624).

Almost surely, 2234252368 is an apocalyptic number.

234252368 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 234252368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

234252368 is an abundant number, since it is smaller than the sum of its proper divisors (348567472).

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

234252368 is a wasteful number, since it uses less digits than its factorization.

234252368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 234252368 is about 15305.3052240065. The cubic root of 234252368 is about 616.4454668378.

The spelling of 234252368 in words is "two hundred thirty-four million, two hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 53 56 62 67 76 106 112 124 133 134 152 212 217 248 266 268 304 371 424 434 469 496 532 536 589 742 848 868 938 1007 1064 1072 1178 1273 1484 1643 1736 1876 2014 2077 2128 2356 2546 2968 3286 3472 3551 3752 4028 4123 4154 4712 5092 5936 6572 7049 7102 7504 8056 8246 8308 8911 9424 10184 11501 13144 14098 14204 14539 16112 16492 16616 17822 20368 23002 24857 26288 28196 28408 29078 31217 32984 33232 35644 39463 46004 49714 56392 56816 58156 62434 65968 67469 71288 78926 92008 99428 110081 112784 116312 124868 134938 142576 157852 184016 198856 218519 220162 232624 249736 269876 276241 315704 397712 437038 440324 472283 499472 539752 552482 631408 770567 874076 880648 944566 1079504 1104964 1541134 1748152 1761296 1889132 2091539 2209928 3082268 3496304 3778264 4183078 4419856 6164536 7556528 8366156 12329072 14640773 16732312 29281546 33464624 58563092 117126184 234252368