Search a number
-
+
341423082000 = 2432537211132707
BaseRepresentation
bin1001111011111100110…
…01101100101000010000
31012122021100202121202100
410331332121230220100
521043213302111000
6420503025320400
733444532212300
oct4757631545020
91178240677670
10341423082000
11121884479970
1256205a96100
1326271981b10
141274c70d600
158d34099a00
hex4f7e66ca10

341423082000 has 1440 divisors, whose sum is σ = 1630280905344. Its totient is φ = 65463552000.

The previous prime is 341423081999. The next prime is 341423082001. The reversal of 341423082000 is 280324143.

341423082000 is a `hidden beast` number, since 34 + 1 + 423 + 0 + 8 + 200 + 0 = 666.

341423082000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (341423081999) and next prime (341423082001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341423082001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 126124647 + ... + 126127353.

Almost surely, 2341423082000 is an apocalyptic number.

341423082000 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 341423082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815140452672).

341423082000 is an abundant number, since it is smaller than the sum of its proper divisors (1288857823344).

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

341423082000 is a wasteful number, since it uses less digits than its factorization.

341423082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 341423082000 in words is "three hundred forty-one billion, four hundred twenty-three million, eighty-two thousand".