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343310240340 = 2232517182361543
BaseRepresentation
bin1001111111011101110…
…00101000101001010100
31012211010212210012022200
410333232320220221110
521111044410142330
6421414201524500
733542355615534
oct4775670505124
91184125705280
10343310240340
11122662753961
1256651aa3730
13264b293a562
141288b1d34c4
158de4abca60
hex4feee28a54

343310240340 has 144 divisors (see below), whose sum is σ = 1103254483968. Its totient is φ = 86115474432.

The previous prime is 343310240303. The next prime is 343310240381. The reversal of 343310240340 is 43042013343.

343310240340 is a `hidden beast` number, since 3 + 4 + 3 + 310 + 2 + 4 + 0 + 340 = 666.

It is a super-2 number, since 2×3433102403402 (a number of 24 digits) contains 22 as substring.

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, 5547609 + ... + 5609151.

It is an arithmetic number, because the mean of its divisors is an integer number (7661489472).

Almost surely, 2343310240340 is an apocalyptic number.

343310240340 is a gapful number since it is divisible by the number (30) 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 343310240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551627241984).

343310240340 is an abundant number, since it is smaller than the sum of its proper divisors (759944243628).

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

343310240340 is a wasteful number, since it uses less digits than its factorization.

343310240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63398 (or 63393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 343310240340 its reverse (43042013343), we get a palindrome (386352253683).

The spelling of 343310240340 in words is "three hundred forty-three billion, three hundred ten million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 1823 3060 3646 5469 7292 9115 10938 16407 18230 21876 27345 30991 32814 36460 54690 61543 61982 65628 82035 92973 109380 123086 123964 154955 164070 184629 185946 246172 278919 307715 309910 328140 369258 371892 464865 553887 557838 615430 619820 738516 923145 929730 1046231 1107774 1115676 1230860 1394595 1846290 1859460 2092462 2215548 2769435 2789190 3138693 3692580 4184924 5231155 5538870 5578380 6277386 9416079 10462310 11077740 12554772 15693465 18832158 20924620 31386930 37664316 47080395 62773860 94160790 112192889 188321580 224385778 336578667 448771556 560964445 673157334 1009736001 1121928890 1346314668 1682893335 1907279113 2019472002 2243857780 3365786670 3814558226 4038944004 5048680005 5721837339 6731573340 7629116452 9536395565 10097360010 11443674678 17165512017 19072791130 20194720020 22887349356 28609186695 34331024034 38145582260 57218373390 68662048068 85827560085 114436746780 171655120170 343310240340