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340823138436 = 2232111750627323
BaseRepresentation
bin1001111010110101010…
…01000110000010000100
31012120201112212022220100
410331122221012002010
521041001210412221
6420323314404100
733423625606554
oct4753251060204
91176645768810
10340823138436
111215a685a440
1256078b90630
13261a75a5b21
14126d2b7d164
158ceb58d926
hex4f5aa46084

340823138436 has 72 divisors (see below), whose sum is σ = 995130680544. Its totient is φ = 97204458240.

The previous prime is 340823138413. The next prime is 340823138441. The reversal of 340823138436 is 634831328043.

340823138436 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 231 + 384 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 340823138391 and 340823138400.

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, 25306930 + ... + 25320393.

It is an arithmetic number, because the mean of its divisors is an integer number (13821259452).

Almost surely, 2340823138436 is an apocalyptic number.

340823138436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

340823138436 is an abundant number, since it is smaller than the sum of its proper divisors (654307542108).

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

340823138436 is a wasteful number, since it uses less digits than its factorization.

340823138436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50627361 (or 50627356 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 340823138436 in words is "three hundred forty billion, eight hundred twenty-three million, one hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 50627323 101254646 151881969 202509292 303763938 455645907 556900553 607527876 860664491 911291814 1113801106 1670701659 1721328982 1822583628 2227602212 2581993473 3341403318 3442657964 5012104977 5163986946 6682806636 7745980419 9467309401 10024209954 10327973892 15491960838 18934618802 20048419908 28401928203 30983921676 37869237604 56803856406 85205784609 113607712812 170411569218 340823138436