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1342410000 = 24354291543
BaseRepresentation
bin101000000000011…
…1000110100010000
310110112222111022220
41100000320310100
510222124110000
6341112301040
745160203531
oct12000706420
93415874286
101342410000
11629834558
123156a1780
13185166759
14ca400688
157ccbb1a0
hex50038d10

1342410000 has 200 divisors, whose sum is σ = 4485814080. Its totient is φ = 345408000.

The previous prime is 1342409977. The next prime is 1342410001. The reversal of 1342410000 is 142431.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342410001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869229 + ... + 870771.

Almost surely, 21342410000 is an apocalyptic number.

1342410000 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 1342410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242907040).

1342410000 is an abundant number, since it is smaller than the sum of its proper divisors (3143404080).

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

1342410000 is a wasteful number, since it uses less digits than its factorization.

1342410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1342410000 is about 36638.9137393564. The cubic root of 1342410000 is about 1103.1343113810.

Adding to 1342410000 its reverse (142431), we get a palindrome (1342552431).

The spelling of 1342410000 in words is "one billion, three hundred forty-two million, four hundred ten thousand".