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1406343640 = 2351341231
BaseRepresentation
bin101001111010011…
…0001100111011000
310122000021122210111
41103310301213120
510340010444030
6351314454104
746564503142
oct12364614730
93560248714
101406343640
11661931879
12332b94334
13195490000
14d4ac3c92
15836e962a
hex53d319d8

1406343640 has 80 divisors (see below), whose sum is σ = 3430738080. Its totient is φ = 518843520.

The previous prime is 1406343623. The next prime is 1406343643. The reversal of 1406343640 is 463436041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406343643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1141825 + ... + 1143055.

It is an arithmetic number, because the mean of its divisors is an integer number (42884226).

Almost surely, 21406343640 is an apocalyptic number.

1406343640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715369040).

1406343640 is an abundant number, since it is smaller than the sum of its proper divisors (2024394440).

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

1406343640 is an equidigital number, since it uses as much as digits as its factorization.

1406343640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 1406343640 is about 37501.2485125496. The cubic root of 1406343640 is about 1120.3760535683.

Adding to 1406343640 its reverse (463436041), we get a palindrome (1869779681).

The spelling of 1406343640 in words is "one billion, four hundred six million, three hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1231 1352 1690 2197 2462 3380 4394 4924 6155 6760 8788 9848 10985 12310 16003 17576 21970 24620 28561 32006 43940 49240 57122 64012 80015 87880 114244 128024 142805 160030 208039 228488 285610 320060 416078 571220 640120 832156 1040195 1142440 1664312 2080390 2704507 4160780 5409014 8321560 10818028 13522535 21636056 27045070 35158591 54090140 70317182 108180280 140634364 175792955 281268728 351585910 703171820 1406343640