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340234340134144 = 2819667910473049
BaseRepresentation
bin100110101011100001111101…
…0111110111110110100000000
31122121200002022011011211211011
41031113003322332332310000
5324043344412033243034
63203341255330530304
7131444056060030021
oct11527037276766400
91577602264154734
10340234340134144
1199455634129845
12321ab840136994
13117acc645b5941
146003603a10c48
152950421689864
hex13570fafbed00

340234340134144 has 72 divisors (see below), whose sum is σ = 714990934280000. Its totient is φ = 161139489509376.

The previous prime is 340234340134123. The next prime is 340234340134153. The reversal of 340234340134144 is 441431043432043.

It is a super-2 number, since 2×3402343401341442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340234340134097 and 340234340134106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27250132 + ... + 37723180.

Almost surely, 2340234340134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340234340134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357495467140000).

340234340134144 is an abundant number, since it is smaller than the sum of its proper divisors (374756594145856).

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

340234340134144 is a wasteful number, since it uses less digits than its factorization.

340234340134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479763 (or 10479749 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 340234340134144 its reverse (441431043432043), we get a palindrome (781665383566187).

The spelling of 340234340134144 in words is "three hundred forty trillion, two hundred thirty-four billion, three hundred forty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 6679 13358 26716 53432 106864 126901 213728 253802 427456 507604 854912 1015208 1709824 2030416 4060832 8121664 10473049 16243328 20946098 32486656 41892196 83784392 167568784 198987931 335137568 397975862 670275136 795951724 1340550272 1591903448 2681100544 3183806896 6367613792 12735227584 25470455168 50940910336 69949494271 139898988542 279797977084 559595954168 1119191908336 1329040391149 2238383816672 2658080782298 4476767633344 5316161564596 8953535266688 10632323129192 17907070533376 21264646258384 42529292516768 85058585033536 170117170067072 340234340134144