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234000120 = 233541199239
BaseRepresentation
bin11011111001010…
…00111011111000
3121022022102211010
431330220323320
5434401000440
635115233520
75540653044
oct1574507370
9538272733
10234000120
111100a5832
12664488a0
133962cc13
1423113024
1515823580
hexdf28ef8

234000120 has 128 divisors (see below), whose sum is σ = 725760000. Its totient is φ = 60318720.

The previous prime is 234000097. The next prime is 234000139. The reversal of 234000120 is 21000432.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 234000096 and 234000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978961 + ... + 979199.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2234000120 is an apocalyptic number.

234000120 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 234000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880000).

234000120 is an abundant number, since it is smaller than the sum of its proper divisors (491759880).

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

234000120 is a wasteful number, since it uses less digits than its factorization.

234000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 234000120 is about 15297.0624631006. The cubic root of 234000120 is about 616.2241201123.

Adding to 234000120 its reverse (21000432), we get a palindrome (255000552).

The spelling of 234000120 in words is "two hundred thirty-four million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 199 205 239 246 328 398 410 478 492 597 615 717 796 820 956 984 995 1194 1195 1230 1434 1592 1640 1912 1990 2388 2390 2460 2868 2985 3585 3980 4776 4780 4920 5736 5970 7170 7960 8159 9560 9799 11940 14340 16318 19598 23880 24477 28680 29397 32636 39196 40795 47561 48954 48995 58794 65272 78392 81590 95122 97908 97990 117588 122385 142683 146985 163180 190244 195816 195980 235176 237805 244770 285366 293970 326360 380488 391960 475610 489540 570732 587940 713415 951220 979080 1141464 1175880 1426830 1902440 1950001 2853660 3900002 5707320 5850003 7800004 9750005 11700006 15600008 19500010 23400012 29250015 39000020 46800024 58500030 78000040 117000060 234000120