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234353440 = 25523431481
BaseRepresentation
bin11011111011111…
…11001100100000
3121022222101111001
431331333030200
5434443302230
635131001344
75543654116
oct1575771440
9538871431
10234353440
11110317232
1266599254
1339724999
14231a5ab6
15158930ca
hexdf7f320

234353440 has 96 divisors (see below), whose sum is σ = 591566976. Its totient is φ = 87521280.

The previous prime is 234353411. The next prime is 234353447. The reversal of 234353440 is 44353432.

It is a junction number, because it is equal to n+sod(n) for n = 234353399 and 234353408.

It is not an unprimeable number, because it can be changed into a prime (234353447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 157500 + ... + 158980.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2234353440 is an apocalyptic number.

234353440 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 234353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

234353440 is an abundant number, since it is smaller than the sum of its proper divisors (357213536).

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

234353440 is a wasteful number, since it uses less digits than its factorization.

234353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 234353440 is about 15308.6067295492. The cubic root of 234353440 is about 616.5341125692.

The spelling of 234353440 in words is "two hundred thirty-four million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 43 46 80 86 92 115 160 172 184 215 230 344 368 430 460 688 736 860 920 989 1376 1481 1720 1840 1978 2962 3440 3680 3956 4945 5924 6880 7405 7912 9890 11848 14810 15824 19780 23696 29620 31648 34063 39560 47392 59240 63683 68126 79120 118480 127366 136252 158240 170315 236960 254732 272504 318415 340630 509464 545008 636830 681260 1018928 1090016 1273660 1362520 1464709 2037856 2547320 2725040 2929418 5094640 5450080 5858836 7323545 10189280 11717672 14647090 23435344 29294180 46870688 58588360 117176720 234353440