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234248064 = 2732712251
BaseRepresentation
bin11011111011001…
…01011110000000
3121022210000221020
431331211132000
5434431414224
635124425440
75543034651
oct1575453600
9538700836
10234248064
11110255046
1266548280
13396b8a2b
1423179528
1515871c79
hexdf65780

234248064 has 64 divisors (see below), whose sum is σ = 624794880. Its totient is φ = 77760000.

The previous prime is 234248057. The next prime is 234248081. The reversal of 234248064 is 460842432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102939 + ... + 105189.

It is an arithmetic number, because the mean of its divisors is an integer number (9762420).

Almost surely, 2234248064 is an apocalyptic number.

234248064 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 234248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312397440).

234248064 is an abundant number, since it is smaller than the sum of its proper divisors (390546816).

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

234248064 is a wasteful number, since it uses less digits than its factorization.

234248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 234248064 is about 15305.1646185201. The cubic root of 234248064 is about 616.4416914259.

The spelling of 234248064 in words is "two hundred thirty-four million, two hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 542 813 1084 1626 2168 2251 3252 4336 4502 6504 6753 8672 9004 13008 13506 17344 18008 26016 27012 34688 36016 52032 54024 72032 104064 108048 144064 216096 288128 432192 610021 864384 1220042 1830063 2440084 3660126 4880168 7320252 9760336 14640504 19520672 29281008 39041344 58562016 78082688 117124032 234248064