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1349843040 = 2532571310301
BaseRepresentation
bin101000001110100…
…1111100001100000
310111001222010112200
41100131033201200
510231024434130
6341535453200
745310322310
oct12035174140
93431863480
101349843040
11632a51067
12318087200
13186869ac0
14cb3b7440
157d788760
hex5074f860

1349843040 has 288 divisors, whose sum is σ = 5669891136. Its totient is φ = 284774400.

The previous prime is 1349843009. The next prime is 1349843051. The reversal of 1349843040 is 403489431.

1349843040 is a `hidden beast` number, since 1 + 349 + 8 + 4 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1349842986 and 1349843004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125890 + ... + 136190.

It is an arithmetic number, because the mean of its divisors is an integer number (19687122).

Almost surely, 21349843040 is an apocalyptic number.

1349843040 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 1349843040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834945568).

1349843040 is an abundant number, since it is smaller than the sum of its proper divisors (4320048096).

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

1349843040 is a wasteful number, since it uses less digits than its factorization.

1349843040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1349843040 is about 36740.2101246033. The cubic root of 1349843040 is about 1105.1666149258.

The spelling of 1349843040 in words is "one billion, three hundred forty-nine million, eight hundred forty-three thousand, forty".