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340312222044 = 223365318232647
BaseRepresentation
bin1001111001111000011…
…00000110100101011100
31012112101221111002101000
410330330030012211130
521033424412101134
6420200503550300
733405153105444
oct4747414064534
91175357432330
10340312222044
11121364417393
1255b55a5b390
132612579b032
1412684d85124
158cbb7bae99
hex4f3c30695c

340312222044 has 96 divisors (see below), whose sum is σ = 884460810240. Its totient is φ = 113158793664.

The previous prime is 340312221961. The next prime is 340312222067. The reversal of 340312222044 is 440222213043.

340312222044 is a `hidden beast` number, since 340 + 312 + 2 + 2 + 2 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340312221999 and 340312222017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128563929 + ... + 128566575.

It is an arithmetic number, because the mean of its divisors is an integer number (9213133440).

Almost surely, 2340312222044 is an apocalyptic number.

It is an amenable number.

340312222044 is an abundant number, since it is smaller than the sum of its proper divisors (544148588196).

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

340312222044 is a wasteful number, since it uses less digits than its factorization.

340312222044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 340312222044 its reverse (440222213043), we get a palindrome (780534435087).

Subtracting 340312222044 from its reverse (440222213043), we obtain a palindrome (99909990999).

The spelling of 340312222044 in words is "three hundred forty billion, three hundred twelve million, two hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 653 1306 1823 1959 2612 2647 3646 3918 5294 5469 5877 7292 7836 7941 10588 10938 11754 15882 16407 17631 21876 23508 23823 31764 32814 35262 47646 49221 65628 70524 71469 95292 98442 142938 196884 285876 1190419 1728491 2380838 3456982 3571257 4761676 4825481 5185473 6913964 7142514 9650962 10370946 10713771 14285028 14476443 15556419 19301924 20741892 21427542 28952886 31112838 32141313 42855084 43429329 46669257 57905772 62225676 64282626 86858658 93338514 128565252 130287987 173717316 186677028 260575974 521151948 3151039093 6302078186 9453117279 12604156372 18906234558 28359351837 37812469116 56718703674 85078055511 113437407348 170156111022 340312222044