Search a number
-
+
342480894192 = 243247531516323
BaseRepresentation
bin1001111101111010111…
…00111011100011110000
31012202000002020001021200
410332331130323203300
521102400102103232
6421200014051200
733512665365663
oct4767534734360
91182002201250
10342480894192
11122277599918
12564601a9b00
13263acb811a8
141280cdc96da
158d96d9a77c
hex4fbd73b8f0

342480894192 has 240 divisors, whose sum is σ = 1004096590848. Its totient is φ = 108880012800.

The previous prime is 342480894187. The next prime is 342480894241. The reversal of 342480894192 is 291498084243.

It is a happy number.

342480894192 is a `hidden beast` number, since 3 + 42 + 480 + 89 + 41 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54161143 + ... + 54167465.

Almost surely, 2342480894192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342480894192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502048295424).

342480894192 is an abundant number, since it is smaller than the sum of its proper divisors (661615696656).

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

342480894192 is a wasteful number, since it uses less digits than its factorization.

342480894192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 342480894192 in words is "three hundred forty-two billion, four hundred eighty million, eight hundred ninety-four thousand, one hundred ninety-two".