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4234313070 = 2345133791061
BaseRepresentation
bin1111110001100010…
…0111110101101110
3101221002121101120000
43330120213311232
532132441004240
61540100005130
7206634032031
oct37430476556
911832541500
104234313070
111883183099
129a20907a6
13526330bc0
142c2509018
1519bb0b430
hexfc627d6e

4234313070 has 160 divisors (see below), whose sum is σ = 12305351520. Its totient is φ = 1038562560.

The previous prime is 4234313053. The next prime is 4234313107. The reversal of 4234313070 is 703134324.

4234313070 is a `hidden beast` number, since 423 + 43 + 130 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990340 + ... + 3991400.

It is an arithmetic number, because the mean of its divisors is an integer number (76908447).

Almost surely, 24234313070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234313070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152675760).

4234313070 is an abundant number, since it is smaller than the sum of its proper divisors (8071038450).

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

4234313070 is a wasteful number, since it uses less digits than its factorization.

4234313070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 4234313070 is about 65071.5995654018. The cubic root of 4234313070 is about 1617.8105195484.

Adding to 4234313070 its reverse (703134324), we get a palindrome (4937447394).

The spelling of 4234313070 in words is "four billion, two hundred thirty-four million, three hundred thirteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 379 390 405 585 702 758 810 1053 1061 1137 1170 1755 1895 2106 2122 2274 3183 3411 3510 3790 4927 5265 5305 5685 6366 6822 9549 9854 10233 10530 10610 11370 13793 14781 15915 17055 19098 20466 24635 27586 28647 29562 30699 31830 34110 41379 44343 47745 49270 51165 57294 61398 68965 73905 82758 85941 88686 95490 102330 124137 133029 137930 143235 147810 153495 171882 206895 221715 248274 266058 286470 306990 372411 399087 402119 413790 429705 443430 620685 665145 744822 798174 804238 859410 1117233 1206357 1241370 1330290 1862055 1995435 2010595 2234466 2412714 3619071 3724110 3990870 4021190 5227547 5586165 6031785 7238142 10455094 10857213 11172330 12063570 15682641 18095355 21714426 26137735 31365282 32571639 36190710 47047923 52275470 54286065 65143278 78413205 94095846 108572130 141143769 156826410 162858195 235239615 282287538 325716390 423431307 470479230 705718845 846862614 1411437690 2117156535 4234313070