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234144240 = 243511312861
BaseRepresentation
bin11011111010011…
…00000111110000
3121022120202111220
431331030013300
5434420103430
635122305040
75542123161
oct1575140760
9538522456
10234144240
11110194040
12664b8180
13396806b5
142314d768
1515851110
hexdf4c1f0

234144240 has 160 divisors (see below), whose sum is σ = 817661952. Its totient is φ = 54912000.

The previous prime is 234144223. The next prime is 234144283. The reversal of 234144240 is 42441432.

It is a happy number.

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 234144240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80410 + ... + 83270.

Almost surely, 2234144240 is an apocalyptic number.

234144240 is a gapful number since it is divisible by the number (20) 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 234144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408830976).

234144240 is an abundant number, since it is smaller than the sum of its proper divisors (583517712).

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

234144240 is a wasteful number, since it uses less digits than its factorization.

234144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 234144240 is about 15301.7724463540. The cubic root of 234144240 is about 616.3506043691.

Adding to 234144240 its reverse (42441432), we get a palindrome (276585672).

The spelling of 234144240 in words is "two hundred thirty-four million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 2861 3410 3720 4092 5115 5456 5722 6820 7440 8184 8583 10230 11444 13640 14305 16368 17166 20460 22888 27280 28610 31471 34332 40920 42915 45776 57220 62942 68664 81840 85830 88691 94413 114440 125884 137328 157355 171660 177382 188826 228880 251768 266073 314710 343320 354764 377652 443455 472065 503536 532146 629420 686640 709528 755304 886910 944130 975601 1064292 1258840 1330365 1419056 1510608 1773820 1888260 1951202 2128584 2517680 2660730 2926803 3547640 3776520 3902404 4257168 4878005 5321460 5853606 7095280 7553040 7804808 9756010 10642920 11707212 14634015 15609616 19512020 21285840 23414424 29268030 39024040 46828848 58536060 78048080 117072120 234144240