Search a number
-
+
340131561510 = 235132103651331
BaseRepresentation
bin1001111001100010110…
…10111100000000100110
31012111221100112120201010
410330301122330000212
521033042134432020
6420130531443050
733400530366366
oct4746132740046
91174840476633
10340131561510
11121281443464
1255b05456486
13260c7225600
1412668d989a6
158caa9d1de0
hex4f316bc026

340131561510 has 96 divisors (see below), whose sum is σ = 892522844928. Its totient is φ = 82911703680.

The previous prime is 340131561491. The next prime is 340131561533. The reversal of 340131561510 is 15165131043.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196545 + ... + 847875.

It is an arithmetic number, because the mean of its divisors is an integer number (9297112968).

Almost surely, 2340131561510 is an apocalyptic number.

340131561510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340131561510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446261422464).

340131561510 is an abundant number, since it is smaller than the sum of its proper divisors (552391283418).

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

340131561510 is a wasteful number, since it uses less digits than its factorization.

340131561510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651470 (or 651457 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 340131561510 its reverse (15165131043), we get a palindrome (355296692553).

The spelling of 340131561510 in words is "three hundred forty billion, one hundred thirty-one million, five hundred sixty-one thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 169 195 206 309 338 390 507 515 618 845 1014 1030 1339 1545 1690 2535 2678 3090 4017 5070 6695 8034 13390 17407 20085 34814 40170 52221 87035 104442 174070 261105 522210 651331 1302662 1953993 3256655 3907986 6513310 8467303 9769965 16934606 19539930 25401909 42336515 50803818 67087093 84673030 110074939 127009545 134174186 201261279 220149878 254019090 330224817 335435465 402522558 550374695 660449634 670870930 872132209 1006306395 1100749390 1651124085 1744264418 2012612790 2616396627 3302248170 4360661045 5232793254 8721322090 11337718717 13081983135 22675437434 26163966270 34013156151 56688593585 68026312302 113377187170 170065780755 340131561510