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343243212240 = 24357120143381
BaseRepresentation
bin1001111111010101110…
…00111100010111010000
31012210222012122211001110
410333222320330113100
521110430230242430
6421403405133320
733540613110405
oct4775270742720
91183865584043
10343243212240
11122628932735
125663355a240
13264a1a9c666
14128823462ac
158dddc7c7b0
hex4feae3c5d0

343243212240 has 80 divisors (see below), whose sum is σ = 1079040686976. Its totient is φ = 90242342400.

The previous prime is 343243212233. The next prime is 343243212251. The reversal of 343243212240 is 42212342343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343243212198 and 343243212207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10054651 + ... + 10088730.

Almost surely, 2343243212240 is an apocalyptic number.

343243212240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343243212240 is an abundant number, since it is smaller than the sum of its proper divisors (735797474736).

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

343243212240 is a wasteful number, since it uses less digits than its factorization.

343243212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20143468 (or 20143462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 343243212240 its reverse (42212342343), we get a palindrome (385455554583).

The spelling of 343243212240 in words is "three hundred forty-three billion, two hundred forty-three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 20143381 40286762 60430143 80573524 100716905 120860286 161147048 201433810 241720572 302150715 322294096 402867620 483441144 604301430 805735240 966882288 1208602860 1430180051 1611470480 2417205720 2860360102 4290540153 4834411440 5720720204 7150900255 8581080306 11441440408 14301800510 17162160612 21452700765 22882880816 28603601020 34324321224 42905401530 57207202040 68648642448 85810803060 114414404080 171621606120 343243212240