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2342743700 = 22521119197569
BaseRepresentation
bin1000101110100011…
…0110111010010100
320001021021201012012
42023220312322110
514244220244300
61024245043352
7112024664363
oct21350667224
96037251165
102342743700
11aa2466020
125546b6558
132b448c79b
141831d77da
15daa16435
hex8ba36e94

2342743700 has 144 divisors (see below), whose sum is σ = 5877748800. Its totient is φ = 801561600.

The previous prime is 2342743691. The next prime is 2342743751. The reversal of 2342743700 is 73472432.

2342743700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4117016 + ... + 4117584.

It is an arithmetic number, because the mean of its divisors is an integer number (40817700).

Almost surely, 22342743700 is an apocalyptic number.

2342743700 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 2342743700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938874400).

2342743700 is an abundant number, since it is smaller than the sum of its proper divisors (3535005100).

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

2342743700 is a wasteful number, since it uses less digits than its factorization.

2342743700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The square root of 2342743700 is about 48401.8976900700. The cubic root of 2342743700 is about 1328.1330770074.

The spelling of 2342743700 in words is "two billion, three hundred forty-two million, seven hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 197 209 220 275 380 394 418 475 550 569 788 836 950 985 1045 1100 1138 1900 1970 2090 2167 2276 2845 3743 3940 4180 4334 4925 5225 5690 6259 7486 8668 9850 10450 10811 10835 11380 12518 14225 14972 18715 19700 20900 21622 21670 25036 28450 31295 37430 41173 43244 43340 54055 54175 56900 62590 74860 82346 93575 108110 108350 112093 118921 125180 156475 164692 187150 205865 216220 216700 224186 237842 270275 312950 374300 411730 448372 475684 540550 560465 594605 625900 823460 1029325 1081100 1120930 1189210 1233023 2058650 2129767 2241860 2378420 2466046 2802325 2973025 4117300 4259534 4932092 5604650 5946050 6165115 8519068 10648835 11209300 11892100 12330230 21297670 23427437 24660460 30825575 42595340 46854874 53244175 61651150 93709748 106488350 117137185 123302300 212976700 234274370 468548740 585685925 1171371850 2342743700