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234850320 = 24335108727
BaseRepresentation
bin11011111111110…
…00100000010000
3121100220122002000
431333320200100
5440110202240
635145354000
75551123545
oct1577704020
9540818060
10234850320
11110626581
1266798900
1339869bb3
1423294bcc
1515940430
hexdff8810

234850320 has 80 divisors (see below), whose sum is σ = 808936320. Its totient is φ = 62626176.

The previous prime is 234850307. The next prime is 234850333. The reversal of 234850320 is 23058432.

234850320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234850307) and next prime (234850333).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 52204 + ... + 56523.

It is an arithmetic number, because the mean of its divisors is an integer number (10111704).

Almost surely, 2234850320 is an apocalyptic number.

234850320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234850320 is an abundant number, since it is smaller than the sum of its proper divisors (574086000).

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

234850320 is a wasteful number, since it uses less digits than its factorization.

234850320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108749 (or 108737 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 234850320 is about 15324.8269158252. The cubic root of 234850320 is about 616.9695335579.

The spelling of 234850320 in words is "two hundred thirty-four million, eight hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 108727 217454 326181 434908 543635 652362 869816 978543 1087270 1304724 1630905 1739632 1957086 2174540 2609448 2935629 3261810 3914172 4349080 4892715 5218896 5871258 6523620 7828344 8698160 9785430 11742516 13047240 14678145 15656688 19570860 23485032 26094480 29356290 39141720 46970064 58712580 78283440 117425160 234850320