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234327264 = 25331711109
BaseRepresentation
bin11011111011110…
…00110011100000
3121022221001120120
431331320303200
5434441433024
635130240240
75543514603
oct1575706340
9538831516
10234327264
111102a95a6
1266586080
1339715ab2
142319a33a
151588a479
hexdf78ce0

234327264 has 96 divisors (see below), whose sum is σ = 644474880. Its totient is φ = 74457600.

The previous prime is 234327251. The next prime is 234327271. The reversal of 234327264 is 462723432.

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

It is a congruent number.

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, 210742 + ... + 211850.

It is an arithmetic number, because the mean of its divisors is an integer number (6713280).

Almost surely, 2234327264 is an apocalyptic number.

234327264 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 234327264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237440).

234327264 is an abundant number, since it is smaller than the sum of its proper divisors (410147616).

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

234327264 is a wasteful number, since it uses less digits than its factorization.

234327264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1216 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 234327264 is about 15307.7517617709. The cubic root of 234327264 is about 616.5111572162.

The spelling of 234327264 in words is "two hundred thirty-four million, three hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 71 93 96 124 142 186 213 248 284 372 426 496 568 744 852 992 1109 1136 1488 1704 2201 2218 2272 2976 3327 3408 4402 4436 6603 6654 6816 8804 8872 13206 13308 17608 17744 26412 26616 34379 35216 35488 52824 53232 68758 70432 78739 103137 105648 106464 137516 157478 206274 211296 236217 275032 314956 412548 472434 550064 629912 825096 944868 1100128 1259824 1650192 1889736 2440909 2519648 3300384 3779472 4881818 7322727 7558944 9763636 14645454 19527272 29290908 39054544 58581816 78109088 117163632 234327264