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340515000000 = 26325772347
BaseRepresentation
bin1001111010010000100…
…01101000111011000000
31012112221002001021102200
410331020101220323000
521034333320000000
6420232550113200
733413164513020
oct4751021507300
91175832037380
10340515000000
1112145892747a
1255bb194b800
13261587b88a6
14126a3c8ba80
158cce4c3500
hex4f48468ec0

340515000000 has 1344 divisors, whose sum is σ = 1485896196096. Its totient is φ = 72864000000.

The previous prime is 340514999999. The next prime is 340515000017. The reversal of 340515000000 is 515043.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7244999977 + ... + 7245000023.

Almost surely, 2340515000000 is an apocalyptic number.

340515000000 is a gapful number since it is divisible by the number (30) 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 340515000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742948098048).

340515000000 is an abundant number, since it is smaller than the sum of its proper divisors (1145381196096).

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

340515000000 is an frugal number, since it uses more digits than its factorization.

340515000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 340515000000 its reverse (515043), we get a palindrome (340515515043).

The spelling of 340515000000 in words is "three hundred forty billion, five hundred fifteen million", and thus it is an aban number.