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234260340 = 2235171631409
BaseRepresentation
bin11011111011010…
…00011101110100
3121022210122202220
431331220131310
5434432312330
635125002340
75543115516
oct1575503564
9538718686
10234260340
11110263296
12665533b0
13396c14b2
142317dbb6
1515875710
hexdf68774

234260340 has 96 divisors (see below), whose sum is σ = 699269760. Its totient is φ = 58392576.

The previous prime is 234260321. The next prime is 234260353. The reversal of 234260340 is 43062432.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 234260340.

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, 165556 + ... + 166964.

It is an arithmetic number, because the mean of its divisors is an integer number (7284060).

Almost surely, 2234260340 is an apocalyptic number.

234260340 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 234260340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349634880).

234260340 is an abundant number, since it is smaller than the sum of its proper divisors (465009420).

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

234260340 is a wasteful number, since it uses less digits than its factorization.

234260340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 234260340 is about 15305.5656543625. The cubic root of 234260340 is about 616.4524596486.

The spelling of 234260340 in words is "two hundred thirty-four million, two hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 163 170 204 255 326 340 489 510 652 815 978 1020 1409 1630 1956 2445 2771 2818 3260 4227 4890 5542 5636 7045 8313 8454 9780 11084 13855 14090 16626 16908 21135 23953 27710 28180 33252 41565 42270 47906 55420 71859 83130 84540 95812 119765 143718 166260 229667 239530 287436 359295 459334 479060 689001 718590 918668 1148335 1378002 1437180 2296670 2756004 3445005 3904339 4593340 6890010 7808678 11713017 13780020 15617356 19521695 23426034 39043390 46852068 58565085 78086780 117130170 234260340