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234000384 = 2123137139
BaseRepresentation
bin11011111001010…
…01000000000000
3121022022110011220
431330221000000
5434401003014
635115235040
75540653602
oct1574510000
9538273156
10234000384
111100a5a52
1266448a80
1339630087
1423113172
15158236a9
hexdf29000

234000384 has 104 divisors (see below), whose sum is σ = 633000480. Its totient is φ = 76873728.

The previous prime is 234000383. The next prime is 234000397. The reversal of 234000384 is 483000432.

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

It is not an unprimeable number, because it can be changed into a prime (234000383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1683387 + ... + 1683525.

Almost surely, 2234000384 is an apocalyptic number.

234000384 is a gapful number since it is divisible by the number (24) 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 234000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316500240).

234000384 is an abundant number, since it is smaller than the sum of its proper divisors (399000096).

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

234000384 is a wasteful number, since it uses less digits than its factorization.

234000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

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

The square root of 234000384 is about 15297.0710922059. The cubic root of 234000384 is about 616.2243518545.

The spelling of 234000384 in words is "two hundred thirty-four million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 139 192 256 274 278 384 411 417 512 548 556 768 822 834 1024 1096 1112 1536 1644 1668 2048 2192 2224 3072 3288 3336 4096 4384 4448 6144 6576 6672 8768 8896 12288 13152 13344 17536 17792 19043 26304 26688 35072 35584 38086 52608 53376 57129 70144 71168 76172 105216 106752 114258 140288 142336 152344 210432 213504 228516 280576 284672 304688 420864 427008 457032 561152 569344 609376 841728 854016 914064 1218752 1683456 1708032 1828128 2437504 3656256 4875008 7312512 9750016 14625024 19500032 29250048 39000064 58500096 78000128 117000192 234000384