Search a number
-
+
342594427392 = 2934721747211
BaseRepresentation
bin1001111110001000011…
…10000001101000000000
31012202021222212010120000
410333010032001220000
521103113133134032
6421215151320000
733515544404400
oct4770416015000
91182258763500
10342594427392
11122325694008
1256492220000
13263ca5527b9
1412820100800
158da1d24e7c
hex4fc4381a00

342594427392 has 1200 divisors, whose sum is σ = 1292365819008. Its totient is φ = 89738772480.

The previous prime is 342594427267. The next prime is 342594427411. The reversal of 342594427392 is 293724495243.

342594427392 is a `hidden beast` number, since 3 + 4 + 2 + 594 + 42 + 7 + 3 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1623670167 + ... + 1623670377.

Almost surely, 2342594427392 is an apocalyptic number.

342594427392 is a gapful number since it is divisible by the number (32) 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 342594427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646182909504).

342594427392 is an abundant number, since it is smaller than the sum of its proper divisors (949771391616).

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

342594427392 is a wasteful number, since it uses less digits than its factorization.

342594427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 342594427392 in words is "three hundred forty-two billion, five hundred ninety-four million, four hundred twenty-seven thousand, three hundred ninety-two".