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4234313440 = 255724191289
BaseRepresentation
bin1111110001100010…
…0111111011100000
3101221002121102001201
43330120213323200
532132441012230
61540100010544
7206634033100
oct37430477340
911832542051
104234313440
1118831833a5
129a2090a54
13526331116
142c2509200
1519bb0b5ca
hexfc627ee0

4234313440 has 144 divisors (see below), whose sum is σ = 11673622800. Its totient is φ = 1447176192.

The previous prime is 4234313431. The next prime is 4234313441. The reversal of 4234313440 is 443134324.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4234313399 and 4234313408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234313441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3284316 + ... + 3285604.

It is an arithmetic number, because the mean of its divisors is an integer number (81066825).

Almost surely, 24234313440 is an apocalyptic number.

4234313440 is a gapful number since it is divisible by the number (40) 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 4234313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836811400).

4234313440 is an abundant number, since it is smaller than the sum of its proper divisors (7439309360).

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

4234313440 is a wasteful number, since it uses less digits than its factorization.

4234313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4234313440 is about 65071.6024084239. The cubic root of 4234313440 is about 1617.8105666705.

Adding to 4234313440 its reverse (443134324), we get a palindrome (4677447764).

The spelling of 4234313440 in words is "four billion, two hundred thirty-four million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 419 490 560 784 838 980 1120 1289 1568 1676 1960 2095 2578 2933 3352 3920 4190 5156 5866 6445 6704 7840 8380 9023 10312 11732 12890 13408 14665 16760 18046 20531 20624 23464 25780 29330 33520 36092 41062 41248 45115 46928 51560 58660 63161 67040 72184 82124 90230 93856 102655 103120 117320 126322 144368 164248 180460 205310 206240 234640 252644 288736 315805 328496 360920 410620 469280 505288 540091 631610 656992 721840 821240 1010576 1080182 1263220 1443680 1642480 2021152 2160364 2526440 2700455 3284960 3780637 4320728 5052880 5400910 7561274 8641456 10105760 10801820 15122548 17282912 18903185 21603640 26464459 30245096 37806370 43207280 52928918 60490192 75612740 86414560 105857836 120980384 132322295 151225480 211715672 264644590 302450960 423431344 529289180 604901920 846862688 1058578360 2117156720 4234313440