Search a number
-
+
340411403312240 = 245131093002923459
BaseRepresentation
bin100110101100110100011010…
…0110001011001110001110000
31122122022000022222210020210012
41031121220310301121301300
5324104300023221442430
63203554501221154052
7131462624625146111
oct11531506461316160
91578260288706705
10340411403312240
1199513735732187
123221a01625b928
13117c3871966340
14600bddd76c208
152954d3612d695
hex1359a34c59c70

340411403312240 has 80 divisors (see below), whose sum is σ = 860157395882400. Its totient is φ = 124537241650176.

The previous prime is 340411403312231. The next prime is 340411403312249. The reversal of 340411403312240 is 42213304114043.

It is an interprime number because it is at equal distance from previous prime (340411403312231) and next prime (340411403312249).

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

It is a junction number, because it is equal to n+sod(n) for n = 340411403312197 and 340411403312206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340411403312249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501348370 + ... + 1501575089.

It is an arithmetic number, because the mean of its divisors is an integer number (10751967448530).

Almost surely, 2340411403312240 is an apocalyptic number.

It is an amenable number.

340411403312240 is an abundant number, since it is smaller than the sum of its proper divisors (519745992570160).

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

340411403312240 is a wasteful number, since it uses less digits than its factorization.

340411403312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002923594 (or 3002923588 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 340411403312240 its reverse (42213304114043), we get a palindrome (382624707426283).

The spelling of 340411403312240 in words is "three hundred forty trillion, four hundred eleven billion, four hundred three million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 436 520 545 872 1040 1090 1417 1744 2180 2834 4360 5668 7085 8720 11336 14170 22672 28340 56680 113360 3002923459 6005846918 12011693836 15014617295 24023387672 30029234590 39038004967 48046775344 60058469180 78076009934 120116938360 156152019868 195190024835 240233876720 312304039736 327318657031 390380049670 624608079472 654637314062 780760099340 1309274628124 1561520198680 1636593285155 2618549256248 3123040397360 3273186570310 4255142541403 5237098512496 6546373140620 8510285082806 13092746281240 17020570165612 21275712707015 26185492562480 34041140331224 42551425414030 68082280662448 85102850828060 170205701656120 340411403312240