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234741720 = 233573127211
BaseRepresentation
bin11011111110111…
…01111111011000
3121100201010002210
431333131333120
5440043213340
635143155120
75550162123
oct1577357730
9540633083
10234741720
11110561a24
1266745aa0
133982c635
14232673ba
151591d180
hexdfddfd8

234741720 has 128 divisors (see below), whose sum is σ = 722903040. Its totient is φ = 60963840.

The previous prime is 234741719. The next prime is 234741743. The reversal of 234741720 is 27147432.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1112415 + ... + 1112625.

It is an arithmetic number, because the mean of its divisors is an integer number (5647680).

Almost surely, 2234741720 is an apocalyptic number.

234741720 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 234741720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361451520).

234741720 is an abundant number, since it is smaller than the sum of its proper divisors (488161320).

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

234741720 is a wasteful number, since it uses less digits than its factorization.

234741720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 234741720 is about 15321.2832360739. The cubic root of 234741720 is about 616.8744187605.

The spelling of 234741720 in words is "two hundred thirty-four million, seven hundred forty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 127 146 211 219 254 292 365 381 422 438 508 584 633 635 730 762 844 876 1016 1055 1095 1266 1270 1460 1524 1688 1752 1905 2110 2190 2532 2540 2920 3048 3165 3810 4220 4380 5064 5080 6330 7620 8440 8760 9271 12660 15240 15403 18542 25320 26797 27813 30806 37084 46209 46355 53594 55626 61612 74168 77015 80391 92418 92710 107188 111252 123224 133985 139065 154030 160782 184836 185420 214376 222504 231045 267970 278130 308060 321564 369672 370840 401955 462090 535940 556260 616120 643128 803910 924180 1071880 1112520 1607820 1848360 1956181 3215640 3912362 5868543 7824724 9780905 11737086 15649448 19561810 23474172 29342715 39123620 46948344 58685430 78247240 117370860 234741720