Search a number
-
+
234180240 = 24357139393
BaseRepresentation
bin11011111010101…
…00111010010000
3121022122120220020
431331110322100
5434422231430
635123143440
75542333140
oct1575247220
9538576806
10234180240
11110209098
1266514b80
1339693bb8
142315c920
151585bb10
hexdf54e90

234180240 has 80 divisors (see below), whose sum is σ = 829673088. Its totient is φ = 53526528.

The previous prime is 234180203. The next prime is 234180257. The reversal of 234180240 is 42081432.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234180240.

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, 68017 + ... + 71376.

Almost surely, 2234180240 is an apocalyptic number.

234180240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234180240 is an abundant number, since it is smaller than the sum of its proper divisors (595492848).

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

234180240 is a wasteful number, since it uses less digits than its factorization.

234180240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139416 (or 139410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 234180240 is about 15302.9487354562. The cubic root of 234180240 is about 616.3821910023.

The spelling of 234180240 in words is "two hundred thirty-four million, one hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 139393 278786 418179 557572 696965 836358 975751 1115144 1393930 1672716 1951502 2090895 2230288 2787860 2927253 3345432 3903004 4181790 4878755 5575720 5854506 6690864 7806008 8363580 9757510 11151440 11709012 14636265 15612016 16727160 19515020 23418024 29272530 33454320 39030040 46836048 58545060 78060080 117090120 234180240