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4342110240 = 253513253527
BaseRepresentation
bin1000000101100111…
…10101100000100000
3102012121110001110210
410002303311200200
532343040011430
61554510254120
7212413220346
oct40263654040
912177401423
104342110240
11192900a766
12a121b7340
13542774700
142d2969996
151a63012b0
hex102cf5820

4342110240 has 144 divisors (see below), whose sum is σ = 14810983488. Its totient is φ = 1068807168.

The previous prime is 4342110203. The next prime is 4342110257. The reversal of 4342110240 is 420112434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54357 + ... + 107883.

It is an arithmetic number, because the mean of its divisors is an integer number (102854052).

Almost surely, 24342110240 is an apocalyptic number.

4342110240 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 4342110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405491744).

4342110240 is an abundant number, since it is smaller than the sum of its proper divisors (10468873248).

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

4342110240 is a wasteful number, since it uses less digits than its factorization.

4342110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53571 (or 53550 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4342110240 is about 65894.6905296626. The cubic root of 4342110240 is about 1631.4243812933.

Adding to 4342110240 its reverse (420112434), we get a palindrome (4762222674).

The spelling of 4342110240 in words is "four billion, three hundred forty-two million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 2028 2080 2535 2704 3120 3380 4056 5070 5408 6240 6760 8112 10140 13520 16224 20280 27040 40560 53527 81120 107054 160581 214108 267635 321162 428216 535270 642324 695851 802905 856432 1070540 1284648 1391702 1605810 1712864 2087553 2141080 2569296 2783404 3211620 3479255 4175106 4282160 5138592 5566808 6423240 6958510 8350212 8564320 9046063 10437765 11133616 12846480 13917020 16700424 18092126 20875530 22267232 25692960 27138189 27834040 33400848 36184252 41751060 45230315 54276378 55668080 66801696 72368504 83502120 90460630 108552756 111336160 135690945 144737008 167004240 180921260 217105512 271381890 289474016 334008480 361842520 434211024 542763780 723685040 868422048 1085527560 1447370080 2171055120 4342110240